Details

sample50.0ms

Algorithm

intervals

Results

31.0ms

670×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2849
6	771
5	316
4	187
3	84
2	39
1	18
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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×	`expm1-log1p-u` `frac-times` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

2 → 66

Calls

2 calls:

14.0ms	(* (cosh x) (/ y x))
17.0ms	(/ (* (cosh x) (/ y x)) z)

series307.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(* (cosh x) (/ y x))
186.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5004
2	1331
1	354
0	143

prune330.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`cbrt-undiv` `div-exp` `add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-l` `associate-*l/`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-r` `flip-+` `insert-posit16` `log1p-expm1-u`
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 → 72

Calls

3 calls:

15.0ms	(+ (exp x) (exp (- x)))
52.0ms	(* (+ (exp x) (exp (- x))) y)
47.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series278.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (exp x) (exp (- x)))
101.0ms	(* (+ (exp x) (exp (- x))) y)
144.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	2145
1	430
0	147

prune406.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
0.2b	(/ 1 (* z (* 2 x)))
5.9b	(* (* (+ (exp x) (exp (- x))) y) (/ 1 (* z (* 2 x))))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
58×	`prod-exp`
47×	`add-cbrt-cube`
22×	`cbrt-unprod`
18×	`div-exp`
17×	`pow1`
15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`associate-r`
9×	`cbrt-undiv` `rec-exp` `1-exp`
8×	`associate-*l/`
7×	`pow-prod-down`
6×	`times-frac` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `pow-flip` `associate-/l*`
2×	`frac-times` `*-commutative` `div-inv` `distribute-lft-out`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `associate-r/` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

21.0ms	(+ (exp x) (exp (- x)))
69.0ms	(* (+ (exp x) (exp (- x))) y)
44.0ms	(/ 1 (* z (* 2 x)))
138.0ms	(* (* (+ (exp x) (exp (- x))) y) (/ 1 (* z (* 2 x))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
74.0ms	(* (+ (exp x) (exp (- x))) y)
20.0ms	(/ 1 (* z (* 2 x)))
119.0ms	(* (* (+ (exp x) (exp (- x))) y) (/ 1 (* z (* 2 x))))

simplify1.6s

Counts

145 → 145

Iterations

Iter	Nodes
done	5003
2	2274
1	589
0	208

prune527.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
0.2b	(/ (/ 1 z) (* 2 x))
5.9b	(* (* (+ (exp x) (exp (- x))) y) (/ (/ 1 z) (* 2 x)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
59×	`add-cbrt-cube`
53×	`times-frac`
40×	`prod-exp`
36×	`div-exp`
33×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
22×	`cbrt-unprod`
20×	`associate-r`
18×	`cbrt-undiv`
13×	`associate-/l*`
11×	`pow1`
8×	`associate-*l/`
6×	`rec-exp` `1-exp` `add-log-exp`
5×	`associate-l` `div-inv`
4×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`frac-times` `*-commutative` `distribute-lft-out`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `associate-r/` `unswap-sqr` `associate-/l/`

Counts

4 → 159

Calls

4 calls:

18.0ms	(+ (exp x) (exp (- x)))
65.0ms	(* (+ (exp x) (exp (- x))) y)
15.0ms	(/ (/ 1 z) (* 2 x))
89.0ms	(* (* (+ (exp x) (exp (- x))) y) (/ (/ 1 z) (* 2 x)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp x) (exp (- x)))
67.0ms	(* (+ (exp x) (exp (- x))) y)
27.0ms	(/ (/ 1 z) (* 2 x))
132.0ms	(* (* (+ (exp x) (exp (- x))) y) (/ (/ 1 z) (* 2 x)))

simplify1.6s

Counts

171 → 171

Iterations

Iter	Nodes
done	5048
2	2686
1	756
0	267

prune696.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes264.0ms

Accuracy

92.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.0b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	35
1	35
0	28

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.6s

22307×

body

valid