Details

sample66.0ms

Algorithm

intervals

Results

46.0ms

695×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2733
6	751
5	308
4	183
3	84
2	39
1	18
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (cosh x) (/ y x))
4.7b	(/ (* (cosh x) (/ y x)) z)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
103×	`add-sqr-sqrt`
80×	`*-un-lft-identity`
78×	`add-cube-cbrt`
65×	`associate-r`
37×	`associate-/l*`
21×	`associate-/l/`
20×	`cosh-def`
18×	`frac-times` `associate-*r/`
16×	`add-cbrt-cube` `add-exp-log`
15×	`associate-/r` `associate-l*`
10×	`unswap-sqr`
7×	`clear-num`
6×	`div-inv`
5×	`cbrt-undiv` `frac-2neg` `div-exp` `*-commutative`
4×	`pow1` `prod-exp` `un-div-inv` `cbrt-unprod`
2×	`associate-*l/` `insert-posit16` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 186

Calls

2 calls:

19.0ms	(* (cosh x) (/ y x))
51.0ms	(/ (* (cosh x) (/ y x)) z)

series312.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(* (cosh x) (/ y x))
169.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.9s

Counts

192 → 192

Iterations

Iter	Nodes
done	5002
2	3082
1	837
0	315

prune837.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ z (cosh x))
4.7b	(/ (/ y x) (/ z (cosh x)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

452×	`times-frac`
217×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
31×	`div-inv`
24×	`associate-/r/`
23×	`associate-/r*`
22×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
15×	`cosh-def`
9×	`cbrt-undiv` `div-exp` `associate-/l/`
4×	`clear-num` `frac-2neg`
2×	`pow1` `insert-posit16` `add-log-exp`

Counts

2 → 275

Calls

2 calls:

11.0ms	(/ z (cosh x))
51.0ms	(/ (/ y x) (/ z (cosh x)))

series439.0ms

Counts

2 → 6

Calls

2 calls:

216.0ms	(/ z (cosh x))
223.0ms	(/ (/ y x) (/ z (cosh x)))

simplify1.4s

Counts

281 → 281

Iterations

Iter	Nodes
done	5000
1	1582
0	511

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.5b	(/ (+ (exp x) (exp (- x))) (* 2 (/ x y)))
4.7b	(/ (/ (+ (exp x) (exp (- x))) (* 2 (/ x y))) z)

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

1001×	`times-frac`
681×	`*-un-lft-identity`
550×	`add-sqr-sqrt`
440×	`add-cube-cbrt`
286×	`associate-r`
135×	`associate-/l*`
118×	`distribute-lft-out`
66×	`associate-l`
64×	`associate-/r*`
55×	`associate-/r/`
45×	`associate-*r/`
44×	`unswap-sqr`
36×	`associate-/l/`
28×	`div-inv`
26×	`add-cbrt-cube` `add-exp-log`
22×	`*-commutative`
13×	`clear-num`
12×	`cbrt-undiv` `div-exp`
10×	`un-div-inv`
8×	`frac-2neg`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`pow1` `flip3-+` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log`

Counts

3 → 644

Calls

3 calls:

24.0ms	(+ (exp x) (exp (- x)))
123.0ms	(/ (+ (exp x) (exp (- x))) (* 2 (/ x y)))
167.0ms	(/ (/ (+ (exp x) (exp (- x))) (* 2 (/ x y))) z)

series319.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (exp x) (exp (- x)))
128.0ms	(/ (+ (exp x) (exp (- x))) (* 2 (/ x y)))
140.0ms	(/ (/ (+ (exp x) (exp (- x))) (* 2 (/ x y))) z)

simplify20.2s

Counts

653 → 653

Iterations

Iter	Nodes
done	5001
1	2294
0	876

prune3.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.3b	(/ (/ (+ (exp x) (exp (- x))) 2) z)
0.3b	(* (/ 1 x) y)
4.7b	(* (* (/ 1 x) y) (/ (/ (+ (exp x) (exp (- x))) 2) z))

rewrite583.0ms

Algorithm

rewrite-expression-head

Rules

430×	`*-un-lft-identity`
357×	`add-sqr-sqrt`
340×	`times-frac`
333×	`associate-*l/`
331×	`associate-/l*`
306×	`frac-times`
295×	`add-cube-cbrt`
174×	`associate-/r*`
157×	`associate-/l/`
78×	`add-exp-log`
64×	`distribute-lft-out`
60×	`clear-num`
58×	`frac-2neg` `associate-r`
50×	`add-cbrt-cube` `associate-l`
34×	`associate-*r/`
31×	`prod-exp`
27×	`unswap-sqr`
26×	`div-exp`
21×	`div-inv`
17×	`cbrt-unprod`
16×	`cbrt-undiv`
12×	`flip3-+` `flip-+`
11×	`pow1`
6×	`add-log-exp`
5×	`un-div-inv`
4×	`rec-exp` `1-exp` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
1×	`+-commutative` `sum-log`

Counts

4 → 628

Calls

4 calls:

24.0ms	(+ (exp x) (exp (- x)))
95.0ms	(/ (/ (+ (exp x) (exp (- x))) 2) z)
37.0ms	(* (/ 1 x) y)
362.0ms	(* (* (/ 1 x) y) (/ (/ (+ (exp x) (exp (- x))) 2) z))

series218.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp x) (exp (- x)))
59.0ms	(/ (/ (+ (exp x) (exp (- x))) 2) z)
10.0ms	(* (/ 1 x) y)
123.0ms	(* (* (/ 1 x) y) (/ (/ (+ (exp x) (exp (- x))) 2) z))

simplify2.2s

Counts

640 → 640

Iterations

Iter	Nodes
done	5001
1	3058
0	794

prune2.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes227.0ms

Accuracy

96.3% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 7.3b

bsearch207.0ms

Steps

Iters	Range		Point
8	1.3824994409861635e-37	8.895491820922207e-33	7.165052739410651e-33
9	-87496.44455950253	-0.0005350557287305616	-0.17773348789390944

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.3s

22099×

body

valid