Details

sample96.0ms

Algorithm: halfpoints

simplify57.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7
done	5001	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:

49.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
15.0ms	(+ (exp x) (exp (- x)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
26.0ms	(+ (exp x) (exp (- x)))

simplify161.0ms

Counts

53 → 53

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	277	461
1	1018	404
2	4757	402
3	5001	402
done	5001	402

prune132.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)

rewrite131.0ms

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:

80.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
11.0ms	(+ (exp (* -1 x)) (exp x))
17.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
17.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

series153.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
25.0ms	(+ (exp (* -1 x)) (exp x))
21.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
49.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

simplify55.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	472	1407
1	1789	1294
2	5001	1275
done	5001	1275

prune372.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

74×	`associate-l`
70×	`times-frac`
62×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
37×	`cbrt-prod`
35×	`sqrt-prod`
30×	`add-exp-log`
24×	`add-cbrt-cube`
12×	`prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`cbrt-div`
7×	`flip3-+` `flip-+` `distribute-lft-out`
6×	`cbrt-undiv` `div-exp` `associate-*l/`
5×	`frac-times` `unswap-sqr`
4×	`associate-r` `pow-prod-down` `add-log-exp`
3×	`associate-*r/`
2×	`pow1/3` `*-commutative` `div-inv`

Counts

4 → 153

Calls

4 calls:

22.0ms	(cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))))
22.0ms	(* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (sqrt 2.0)) (cos y))
82.0ms	(* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (sqrt 2.0)) (cos y)))
8.0ms	(cbrt (+ (exp (* -1 x)) (exp x)))

series654.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))))
178.0ms	(* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (sqrt 2.0)) (cos y))
145.0ms	(* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (sqrt 2.0)) (cos y)))
125.0ms	(cbrt (+ (exp (* -1 x)) (exp x)))

simplify89.0ms

Counts

165 → 165

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	695	3277
1	3268	2607
2	5001	2588
done	5001	2588

prune565.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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	12	7
1	12	7
done	12	7

end0.0ms

sample2.4s

Algorithm: halfpoints