Details

sample222.0ms

Algorithm: halfpoints

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1039
5	247
4	128
3	83
2	48
1	30
0	16

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

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))
18.5b	(- (exp x) (exp (- x)))

rewrite159.0ms

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-cbrt-cube` `add-exp-log`
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` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 122

Calls

4 calls:

62.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
10.0ms	(+ (exp x) (exp (- x)))
57.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.0ms	(- (exp x) (exp (- x)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
42.0ms	(+ (exp x) (exp (- x)))
127.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
52.0ms	(- (exp x) (exp (- x)))

simplify1.8s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	2815
1	582
0	231

prune884.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(expm1 (log1p (/ (* (+ (exp x) (exp (- x))) (cos y)) 2.0)))
0.3b	(log1p (/ (* (+ (exp x) (exp (- x))) (cos y)) 2.0))
18.5b	(- (exp x) (exp (- x)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

76.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.0ms	(expm1 (log1p (/ (* (+ (exp x) (exp (- x))) (cos y)) 2.0)))
1.0ms	(log1p (/ (* (+ (exp x) (exp (- x))) (cos y)) 2.0))
24.0ms	(- (exp x) (exp (- x)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
147.0ms	(expm1 (log1p (/ (* (+ (exp x) (exp (- x))) (cos y)) 2.0)))
145.0ms	(log1p (/ (* (+ (exp x) (exp (- x))) (cos y)) 2.0))
43.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1893
1	467
0	196

prune813.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
0.0b	(fma x x (fma 1/12 (pow x 4) 2))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.5b	(- (exp x) (exp (- x)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

15.0ms	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
1.0ms	(fma x x (fma 1/12 (pow x 4) 2))
93.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
26.0ms	(- (exp x) (exp (- x)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
83.0ms	(fma x x (fma 1/12 (pow x 4) 2))
133.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
47.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2660
1	561
0	232

prune926.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	18

end0.0ms

sample7.6s

Algorithm: halfpoints