Details

sample210.0ms

Algorithm: halfpoints

simplify945.0ms

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	118	11
5	231	11
6	979	11
done	5000	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.2b	(- (exp x) (exp (- x)))

rewrite197.0ms

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)))
80.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.0ms	(- (exp x) (exp (- x)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (exp x) (exp (- x)))
103.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
117.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
49.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

111 → 111

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	200	1479
1	524	1449
2	2384	1281
done	5000	1277

prune558.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (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)
18.2b	(- (exp x) (exp (- x)))

rewrite145.0ms

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:

83.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
8.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
25.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
26.0ms	(- (exp x) (exp (- x)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
116.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
151.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
40.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

107 → 107

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	195	1610
1	536	1488
2	2483	1312
done	5000	1308

prune644.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(pow (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3) 1/3)
0.4b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
18.2b	(- (exp x) (exp (- x)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-exp-log`
19×	`associate-l`
17×	`add-cube-cbrt`
16×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow-exp`
10×	`unpow-prod-down`
9×	`pow1`
6×	`pow-unpow` `prod-exp` `add-log-exp`
4×	`cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
3×	`pow-to-exp` `pow-pow` `div-exp` `associate-r` `rem-cube-cbrt` `sqr-pow`
2×	`cbrt-undiv` `cube-mult` `unpow3` `cube-prod` `pow-prod-down` `associate-*l/` `unswap-sqr`
1×	`cube-div` `sub-neg` `flip3--` `unpow1/3` `diff-log` `*-commutative` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

82.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
21.0ms	(pow (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3) 1/3)
26.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
31.0ms	(- (exp x) (exp (- x)))

series569.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
274.0ms	(pow (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3) 1/3)
102.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
72.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

116 → 116

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	211	1828
1	604	1626
2	2653	1453
done	5000	1449

prune607.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample6.9s

Algorithm: halfpoints