Details

sample172.0ms

Algorithm: halfpoints

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.2b	(- (exp x) (exp (- x)))

rewrite213.0ms

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:

76.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
15.0ms	(+ (exp x) (exp (- x)))
94.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
24.0ms	(- (exp x) (exp (- x)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
45.0ms	(+ (exp x) (exp (- x)))
125.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.0ms	(- (exp x) (exp (- x)))

simplify3.0s

Counts

111 → 111

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	200	1479
1	499	1449
2	1383	1277
3	4288	1273
done	5001	1273

prune662.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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))
0.3b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
19.2b	(- (exp x) (exp (- x)))

rewrite182.0ms

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:

85.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
8.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
56.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
29.0ms	(- (exp x) (exp (- x)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
96.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
116.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
55.0ms	(- (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

prune568.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(* 1/12 (pow x 4))
19.2b	(- (exp x) (exp (- x)))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

117.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
94.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
12.0ms	(* 1/12 (pow x 4))
20.0ms	(- (exp x) (exp (- x)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
120.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
75.0ms	(* 1/12 (pow x 4))
74.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

124 → 124

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	239	1764
1	574	1715
2	1592	1519
done	5001	1514

prune823.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	19	24
done	19	24

end0.0ms

sample7.5s

Algorithm: halfpoints