Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ 2.0 (+ (exp x) (exp (- x))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 45

Calls

2 calls:

18.0ms	(+ (exp x) (exp (- x)))
35.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series100.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (exp x) (exp (- x)))
58.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.1s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
3	1840
2	586
1	201
0	90

prune251.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))
0.5b	(cbrt (+ (exp x) (exp (- x))))
0.5b	(cbrt (+ (exp x) (exp (- x))))
0.5b	(cbrt (+ (exp x) (exp (- x))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `flip3-+` `add-exp-log` `add-cube-cbrt` `flip-+`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`frac-times` `pow1` `add-log-exp`
3×	`times-frac` `pow1/3` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 71

Calls

4 calls:

39.0ms	(/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))
8.0ms	(cbrt (+ (exp x) (exp (- x))))
7.0ms	(cbrt (+ (exp x) (exp (- x))))
8.0ms	(cbrt (+ (exp x) (exp (- x))))

series828.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))
153.0ms	(cbrt (+ (exp x) (exp (- x))))
205.0ms	(cbrt (+ (exp x) (exp (- x))))
175.0ms	(cbrt (+ (exp x) (exp (- x))))

simplify2.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5004
3	2758
2	831
1	309
0	123

prune475.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x x) (- (* (* x x) 0.20833333333333334) 0.5))
0.1b	(* (* x x) 0.20833333333333334)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`*-un-lft-identity` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate-r/` `-commutative` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 44

Calls

2 calls:

97.0ms	(* (* x x) (- (* (* x x) 0.20833333333333334) 0.5))
15.0ms	(* (* x x) 0.20833333333333334)

series165.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* (* x x) (- (* (* x x) 0.20833333333333334) 0.5))
40.0ms	(* (* x x) 0.20833333333333334)

simplify3.6s

Counts

50 → 50

Iterations

Iter	Nodes
done	5028
3	3971
2	790
1	227
0	79

prune153.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample594.0ms

Algorithm

intervals

Results

448.0ms

8000×

body

valid