Details

sample96.0ms

Algorithm: halfpoints

simplify58.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	7
done	5002	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.4b	(- (exp x) (exp (- x)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
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 → 122

Calls

4 calls:

53.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
12.0ms	(+ (exp x) (exp (- x)))
55.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.0ms	(- (exp x) (exp (- x)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))
84.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify56.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	574	1243
1	2008	1013
2	5002	1009
done	5002	1009

prune433.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.4b	(- (exp x) (exp (- x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
9×	`add-exp-log` `prod-diff` `add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`exp-prod` `fma-neg` `associate-r` `sqrt-prod`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `rem-sqrt-square` `flip3--` `pow1/2` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `fma-udef` `div-inv`

Counts

4 → 96

Calls

4 calls:

3.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
55.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.0ms	(- (exp x) (exp (- x)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp x))
66.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify44.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	417	914
1	1339	727
2	5002	724
done	5002	724

prune378.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (exp x) (exp (- x))) 3))
0.0b	(pow (+ (exp x) (exp (- x))) 3)
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.4b	(- (exp x) (exp (- x)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
14×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
8×	`unpow-prod-down` `cube-prod`
7×	`pow1`
6×	`add-log-exp`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `fma-neg` `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 → 124

Calls

4 calls:

20.0ms	(cbrt (pow (+ (exp x) (exp (- x))) 3))
22.0ms	(pow (+ (exp x) (exp (- x))) 3)
54.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.0ms	(- (exp x) (exp (- x)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (pow (+ (exp x) (exp (- x))) 3))
53.0ms	(pow (+ (exp x) (exp (- x))) 3)
78.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms	(- (exp x) (exp (- x)))

simplify60.0ms

Counts

136 → 136

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	522	1219
1	1907	1028
2	5001	1016
done	5001	1016

prune418.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19
done	19	19

end0.0ms

sample2.6s

Algorithm: halfpoints