Details

sample188.0ms

Algorithm: halfpoints

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	127	11
5	200	11
6	373	11
7	614	11
8	1106	11
9	1516	11
10	1847	11
11	1933	11
12	1953	11
done	1953	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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))
15.7b	(- (exp x) (exp (- x)))

rewrite246.0ms

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:

88.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
20.0ms	(+ (exp x) (exp (- x)))
83.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
46.0ms	(- (exp x) (exp (- x)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
39.0ms	(+ (exp x) (exp (- x)))
131.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
51.0ms	(- (exp x) (exp (- x)))

simplify1.9s

Counts

134 → 134

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	232	1903
1	565	1734
2	1576	1486
done	5001	1429

prune594.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))
0.0b	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.7b	(- (exp x) (exp (- x)))

rewrite458.0ms

Algorithm

rewrite-expression-head

Rules

111×	`associate-l`
108×	`*-un-lft-identity`
104×	`times-frac`
103×	`add-sqr-sqrt`
94×	`sqrt-prod`
76×	`add-cube-cbrt`
35×	`add-exp-log` `add-cbrt-cube`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`distribute-lft-out`
9×	`prod-diff`
7×	`cbrt-undiv` `div-exp` `associate-r` `unswap-sqr`
6×	`add-log-exp`
5×	`pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `flip--`

Counts

4 → 212

Calls

4 calls:

94.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))
241.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
85.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0ms	(- (exp x) (exp (- x)))

series631.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))
230.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
110.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
81.0ms	(- (exp x) (exp (- x)))

simplify2.0s

Counts

224 → 224

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	304	4614
1	772	4323
2	2661	3475
done	5001	3420

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(log1p (expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
0.6b	(expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
15.7b	(- (exp x) (exp (- x)))

rewrite113.0ms

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-exp-log` `prod-diff` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `log1p-udef` `expm1-log1p` `flip3--` `diff-log` `log1p-expm1` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `expm1-udef`

Counts

4 → 90

Calls

4 calls:

88.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.0ms	(log1p (expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
1.0ms	(expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
20.0ms	(- (exp x) (exp (- x)))

series819.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
282.0ms	(log1p (expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
322.0ms	(expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
64.0ms	(- (exp x) (exp (- x)))

simplify3.0s

Counts

102 → 102

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	206	1693
1	474	1509
2	1270	1290
3	4737	1233
done	5000	1232

prune602.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes88.0ms

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

sample5.2s

Algorithm: halfpoints