Details

sample108.0ms

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

prune10.0ms

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))

rewrite68.0ms

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:

12.0ms	(+ (exp x) (exp (- x)))
55.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series92.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp x) (exp (- x)))
64.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify163.0ms

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

prune139.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) 1) (* (/ (cbrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
18×	`cbrt-unprod`
17×	`div-exp`
15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`pow1` `cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt`
7×	`associate-l`
6×	`cbrt-div` `1-exp`
4×	`add-log-exp`
3×	`flip3-+` `times-frac` `pow1/3` `pow-prod-down` `associate-*l/` `flip-+` `distribute-lft-out`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 87

Calls

4 calls:

148.0ms	(* (/ (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) 1) (* (/ (cbrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
10.0ms	(cbrt (+ (exp x) (exp (- x))))
10.0ms	(cbrt (+ (exp x) (exp (- x))))
12.0ms	(cbrt (+ (exp x) (exp (- x))))

series471.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (/ (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) 1) (* (/ (cbrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
137.0ms	(cbrt (+ (exp x) (exp (- x))))
134.0ms	(cbrt (+ (exp x) (exp (- x))))
138.0ms	(cbrt (+ (exp x) (exp (- x))))

simplify66.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	484	1646
1	2176	1224
2	5001	965
done	5001	965

prune253.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(exp (log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
6.6b	(log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
16×	`associate-l`
15×	`add-exp-log`
14×	`add-cube-cbrt`
13×	`times-frac`
12×	`pow1`
9×	`add-cbrt-cube`
6×	`add-log-exp`
5×	`exp-prod`
4×	`prod-exp` `log-pow` `distribute-lft-out`
3×	`rem-log-exp` `associate-r` `pow-prod-down` `associate-*l/`
2×	`log-div` `log-prod` `div-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `exp-diff` `exp-sum` `sum-log` `*-commutative` `flip-+` `div-inv` `rem-exp-log`

Counts

4 → 76

Calls

4 calls:

12.0ms	(+ (exp x) (exp (- x)))
54.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
61.0ms	(exp (log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
19.0ms	(log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (exp x) (exp (- x)))
62.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
67.0ms	(exp (log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
94.0ms	(log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

simplify34.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	320	746
1	1210	657
2	5002	655
done	5002	655

prune245.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

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

sample2.1s

Algorithm: halfpoints