Details

sample208.0ms

Algorithm: halfpoints

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

84.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
25.0ms	(+ (exp x) (exp (- x)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
43.0ms	(+ (exp x) (exp (- x)))

simplify2.1s

Counts

60 → 60

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	113	747
1	281	730
2	790	643
3	2230	639
done	5000	638

prune291.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

198×	`sqrt-prod`
172×	`times-frac`
171×	`*-un-lft-identity`
133×	`add-sqr-sqrt`
119×	`add-cube-cbrt`
92×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
26×	`distribute-lft-out`
14×	`associate-/l*`
12×	`prod-exp` `associate-/r*` `cbrt-unprod`
11×	`pow1`
8×	`cbrt-undiv` `div-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-div` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
2×	`sqrt-undiv` `frac-2neg` `flip3-+` `clear-num` `*-commutative` `flip-+`
1×	`frac-times` `associate-*r/`

Counts

4 → 288

Calls

4 calls:

42.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
66.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
158.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
124.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))

series1.2s

Counts

4 → 12

Calls

4 calls:

184.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
159.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
669.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
212.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))

simplify1.5s

Counts

300 → 300

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	240	6352
1	592	5923
2	2163	5168
done	5001	5145

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

98×	`sqrt-prod`
92×	`times-frac` `associate-l`
88×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
60×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out`
10×	`unswap-sqr`
8×	`pow1`
6×	`associate-r`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 162

Calls

4 calls:

89.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (log1p (expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))))
94.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos 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)))

series1.2s

Counts

4 → 12

Calls

4 calls:

432.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (log1p (expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))))
197.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))
244.0ms	(log1p (expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))
302.0ms	(expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))

simplify1.5s

Counts

174 → 174

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	198	4013
1	466	3766
2	1728	3200
done	5000	3191

prune799.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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	10	11
1	12	11
done	12	11

end0.0ms

sample5.3s

Algorithm: halfpoints