Details

sample70.0ms

Algorithm

intervals

Results

43.0ms

670×

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: 6.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
6.1b	(/ (* (cosh x) (/ y x)) z)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`times-frac` `associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-l*` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

2 → 62

Calls

2 calls:

25.0ms	(* (cosh x) (/ y x))
26.0ms	(/ (* (cosh x) (/ y x)) z)

series326.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(* (cosh x) (/ y x))
200.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1300
1	348
0	139

prune289.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
5.5b	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-cbrt-cube` `add-exp-log`
10×	`prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `add-cube-cbrt` `add-log-exp`
4×	`associate-l` `associate-*l/`
3×	`flip3-+` `associate-r` `flip-+` `insert-posit16`
2×	`distribute-lft-out` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

12.0ms	(+ (exp x) (exp (- x)))
71.0ms	(* (+ (exp x) (exp (- x))) y)
42.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (exp x) (exp (- x)))
75.0ms	(* (+ (exp x) (exp (- x))) y)
131.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify1.8s

Counts

72 → 72

Iterations

Iter	Nodes
done	5031
2	2116
1	422
0	141

prune304.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
0.3b	(/ 1 (/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y)))
5.4b	(/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
56×	`add-cbrt-cube`
38×	`div-exp`
37×	`prod-exp`
26×	`times-frac`
22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
19×	`cbrt-undiv` `cbrt-unprod`
18×	`add-cube-cbrt`
12×	`associate-*l/`
11×	`associate-/r/`
8×	`associate-/r*`
7×	`pow1` `rec-exp` `flip3-+` `1-exp` `flip-+`
6×	`div-inv` `add-log-exp`
4×	`associate-l` `insert-posit16` `associate-/l*`
3×	`associate-r`
2×	`clear-num` `frac-2neg` `distribute-lft-out`
1×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

24.0ms	(+ (exp x) (exp (- x)))
68.0ms	(* (+ (exp x) (exp (- x))) y)
78.0ms	(/ 1 (/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y)))
43.0ms	(/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y))

series406.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (exp x) (exp (- x)))
63.0ms	(* (+ (exp x) (exp (- x))) y)
163.0ms	(/ 1 (/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y)))
150.0ms	(/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y))

simplify2.0s

Counts

148 → 148

Iterations

Iter	Nodes
done	5014
2	3296
1	647
0	235

prune504.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (/ 1 (exp x)))
0.0b	(/ (+ (exp x) (/ 1 (exp x))) z)
0.0b	(/ 1 (exp x))
5.6b	(/ (/ (+ (exp x) (/ 1 (exp x))) z) (/ (* 2 x) y))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

337×	`times-frac`
222×	`*-un-lft-identity`
135×	`add-sqr-sqrt` `add-cube-cbrt`
60×	`div-inv`
58×	`distribute-lft-out`
29×	`add-cbrt-cube`
28×	`add-exp-log`
27×	`associate-/l*`
16×	`div-exp`
15×	`cbrt-undiv`
13×	`associate-/r*`
6×	`add-log-exp`
5×	`pow1`
4×	`insert-posit16` `pow-flip`
3×	`exp-prod` `clear-num` `frac-2neg` `associate-/l/`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `associate-/r/` `inv-pow`

Counts

4 → 271

Calls

4 calls:

20.0ms	(+ (exp x) (/ 1 (exp x)))
55.0ms	(/ (+ (exp x) (/ 1 (exp x))) z)
7.0ms	(/ 1 (exp x))
79.0ms	(/ (/ (+ (exp x) (/ 1 (exp x))) z) (/ (* 2 x) y))

series269.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (exp x) (/ 1 (exp x)))
81.0ms	(/ (+ (exp x) (/ 1 (exp x))) z)
14.0ms	(/ 1 (exp x))
131.0ms	(/ (/ (+ (exp x) (/ 1 (exp x))) z) (/ (* 2 x) y))

simplify2.4s

Counts

283 → 283

Iterations

Iter	Nodes
done	5072
2	3727
1	1126
0	393

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes201.0ms

Accuracy

90.5% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.1b

bsearch77.0ms

Steps

Iters	Range		Point
8	6.004614779223737e-20	2.434636542894826e-15	7.694949687069597e-19
5	-2.1923047753328153e+97	-5.807654414909257e+96	-5.936045909707795e+96

simplify6.0ms

Iterations

Iter	Nodes
done	38
1	38
0	28

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.4s

22307×

body

valid