Details

sample164.0ms

Algorithm: halfpoints

simplify5.0s

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	117	11
5	188	11
6	331	11
7	556	11
8	1000	11
9	1366	11
10	1686	11
11	1768	11
12	1790	11
done	1790	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

19.0ms	(+ (exp x) (exp (- x)))
90.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series130.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (exp x) (exp (- x)))
93.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify1.6s

Counts

53 → 53

Iterations

Useful iterations: 3 (766.0ms)

Iter	Nodes	Cost
0	109	709
1	272	694
2	769	608
3	2131	605
done	5000	605

prune202.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- x)) (exp x))
0.0b	(* (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0) (cos y))
0.0b	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
0.0b	(pow (+ (exp (- x)) (exp x)) 3)

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
60×	`cbrt-prod`
57×	`add-sqr-sqrt`
56×	`times-frac`
55×	`associate-l`
41×	`add-cube-cbrt`
21×	`unpow-prod-down` `cube-prod`
11×	`distribute-lft-out`
10×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp` `unswap-sqr` `sqr-pow`
5×	`cube-mult` `unpow3`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`cbrt-div` `prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `sum-log` `-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 142

Calls

4 calls:

27.0ms	(+ (exp (- x)) (exp x))
196.0ms	(* (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0) (cos y))
41.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
36.0ms	(pow (+ (exp (- x)) (exp x)) 3)

series218.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (exp (- x)) (exp x))
87.0ms	(* (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0) (cos y))
26.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
75.0ms	(pow (+ (exp (- x)) (exp x)) 3)

simplify1.0s

Counts

154 → 154

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	204	2420
1	464	1989
2	1431	1830
done	5000	1828

prune559.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
0.0b	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
0.0b	(pow (+ (exp (- x)) (exp x)) 3)

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
58×	`associate-l`
56×	`cbrt-prod`
55×	`sqrt-prod`
51×	`times-frac`
41×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`unpow-prod-down` `cube-prod`
11×	`distribute-lft-out`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`cube-mult` `unpow3` `sqr-pow`
4×	`cube-div` `sqrt-div`
3×	`pow-unpow` `flip3-+` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`cbrt-div`
1×	`+-commutative` `frac-times` `pow-to-exp` `pow-pow` `pow1/3` `associate-r` `associate-l/` `pow-exp` `sum-log` `-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 140

Calls

4 calls:

14.0ms	(+ (exp x) (exp (- x)))
265.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
32.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
39.0ms	(pow (+ (exp (- x)) (exp x)) 3)

series306.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (exp x) (exp (- x)))
167.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
27.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
76.0ms	(pow (+ (exp (- x)) (exp x)) 3)

simplify1.3s

Counts

152 → 152

Iterations

Useful iterations: 2 (416.0ms)

Iter	Nodes	Cost
0	248	3198
1	533	2700
2	1520	2267
done	5001	2267

prune860.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))
0.2b	(* (sqrt (/ (cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))) 1)) (* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))))
0.2b	(* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
1.0b	(cbrt (+ (exp (- x)) (exp x)))

rewrite573.0ms

Algorithm

rewrite-expression-head

Rules

47×	`associate-l`
41×	`sqrt-prod`
37×	`*-un-lft-identity`
33×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`cbrt-prod`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`sqrt-div`
14×	`associate-*r/`
10×	`frac-times` `cbrt-div`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`flip3-+` `flip-+`
6×	`associate-*l/`
4×	`distribute-lft-out` `add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative` `div-inv`

Counts

4 → 121

Calls

4 calls:

42.0ms	(cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))
310.0ms	(* (sqrt (/ (cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))) 1)) (* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))))
202.0ms	(* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
13.0ms	(cbrt (+ (exp (- x)) (exp x)))

series959.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))
181.0ms	(* (sqrt (/ (cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))) 1)) (* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))))
310.0ms	(* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
172.0ms	(cbrt (+ (exp (- x)) (exp x)))

simplify1.8s

Counts

133 → 133

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	283	4261
1	655	3569
2	2086	3234
done	5000	3214

prune937.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	25
1	20	25
done	20	25

end0.0ms

sample4.9s

Algorithm: halfpoints