Details

sample226.0ms

Algorithm: halfpoints

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite123.0ms

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:

20.0ms	(+ (exp x) (exp (- x)))
100.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series137.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (exp x) (exp (- x)))
95.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify1.7s

Counts

53 → 53

Iterations

Useful iterations: 3 (673.0ms)

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

prune187.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize23.0ms

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)

rewrite268.0ms

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:

19.0ms	(+ (exp (- x)) (exp x))
160.0ms	(* (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0) (cos y))
28.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
54.0ms	(pow (+ (exp (- x)) (exp x)) 3)

series249.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (exp (- x)) (exp x))
91.0ms	(* (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0) (cos y))
36.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
73.0ms	(pow (+ (exp (- x)) (exp x)) 3)

simplify1.2s

Counts

154 → 154

Iterations

Useful iterations: done (1.2s)

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

prune650.0ms

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)

rewrite393.0ms

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:

17.0ms	(+ (exp x) (exp (- x)))
251.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
52.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
59.0ms	(pow (+ (exp (- x)) (exp x)) 3)

series382.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (exp x) (exp (- x)))
209.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
44.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
83.0ms	(pow (+ (exp (- x)) (exp x)) 3)

simplify1.4s

Counts

152 → 152

Iterations

Useful iterations: 2 (434.0ms)

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

prune781.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ (exp (- x)) (exp x)) 3)
0.2b	(* (sqrt (/ (cbrt (* (cbrt (pow (+ (exp (- x)) (exp x)) 3)) (cbrt (pow (+ (exp (- x)) (exp x)) 3)))) 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)))

rewrite728.0ms

Algorithm

rewrite-expression-head

Rules

47×	`associate-l`
44×	`*-un-lft-identity`
41×	`sqrt-prod`
33×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
16×	`sqrt-div`
12×	`associate-*r/`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`frac-times` `distribute-lft-out`
4×	`unpow-prod-down` `cube-prod` `associate-*l/` `add-log-exp`
3×	`pow-unpow`
2×	`cube-div` `cbrt-div` `flip3-+` `associate-r` `*-commutative` `flip-+` `div-inv`
1×	`cube-mult` `pow-to-exp` `pow-pow` `pow1/3` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 131

Calls

4 calls:

33.0ms	(pow (+ (exp (- x)) (exp x)) 3)
391.0ms	(* (sqrt (/ (cbrt (* (cbrt (pow (+ (exp (- x)) (exp x)) 3)) (cbrt (pow (+ (exp (- x)) (exp x)) 3)))) 1)) (* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))))
251.0ms	(* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
46.0ms	(cbrt (+ (exp (- x)) (exp x)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(pow (+ (exp (- x)) (exp x)) 3)
184.0ms	(* (sqrt (/ (cbrt (* (cbrt (pow (+ (exp (- x)) (exp x)) 3)) (cbrt (pow (+ (exp (- x)) (exp x)) 3)))) 1)) (* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))))
297.0ms	(* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))))
180.0ms	(cbrt (+ (exp (- x)) (exp x)))

simplify1.6s

Counts

143 → 143

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	282	4409
1	666	3415
2	2134	3103
done	5000	3061

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.7s

Algorithm: halfpoints