Details

sample293.0ms

Algorithm: halfpoints

simplify2.0s

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	128	11
5	247	11
6	1038	11
done	5000	11

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 1 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

16×	`-un-lft-identity` `associate-r*`
15×	`add-sqr-sqrt`
13×	`times-frac`
10×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l` `distribute-lft-out`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

104.0ms

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

series111.0ms

Counts

1 → 3

Calls

1 calls:

111.0ms

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

simplify1.4s

Counts

40 → 40

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	92	585
1	254	566
2	1540	496
done	5000	495

prune273.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 2 expressions with local error:

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

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
33×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
22×	`associate-r`
21×	`add-cube-cbrt`
20×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
5×	`sqrt-div`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*r/`

Counts

2 → 78

Calls

2 calls:

99.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
205.0ms	(* (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))

series405.0ms

Counts

2 → 6

Calls

2 calls:

191.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
213.0ms	(* (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	165	1733
1	368	1642
2	1883	1472
done	5000	1284

prune664.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 55

Calls

4 calls:

18.0ms	(cbrt (+ (exp x) (exp (- x))))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
2.0ms	(cbrt 2.0)

series242.0ms

Counts

4 → 6

Calls

4 calls:

241.0ms	(cbrt (+ (exp x) (exp (- x))))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify3.6s

Counts

61 → 61

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	74	454
1	154	435
2	544	396
3	3033	377
done	5000	376

prune634.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	22
1	15	22
done	15	22

end0.0ms

sample9.8s

Algorithm: halfpoints