Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

631×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	40	8
3	99	8
4	215	8
5	367	8
6	611	8
7	1441	8
8	3501	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.2b	(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

7.0ms	(* (cosh x) (/ y x))
5.0ms	(/ (* (cosh x) (/ y x)) z)

series187.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (cosh x) (/ y x))
110.0ms	(/ (* (cosh x) (/ y x)) z)

simplify498.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (170.0ms)

Iter	Nodes	Cost
0	137	707
1	344	670
2	1299	570
done	5000	570

prune142.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
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-+`
2×	`associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

5.0ms	(+ (exp x) (exp (- x)))
22.0ms	(* (+ (exp x) (exp (- x))) y)
12.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (exp x) (exp (- x)))
51.0ms	(* (+ (exp x) (exp (- x))) y)
90.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify735.0ms

Counts

69 → 69

Iterations

Useful iterations: done (733.0ms)

Iter	Nodes	Cost
0	139	1096
1	421	1038
2	2019	809
done	5001	801

prune163.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (exp x) (exp (- x))) y) z)
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
6.3b	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

8.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
8.0ms	(+ (exp x) (exp (- x)))
20.0ms	(* (+ (exp x) (exp (- x))) y)
11.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series232.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
27.0ms	(+ (exp x) (exp (- x)))
51.0ms	(* (+ (exp x) (exp (- x))) y)
93.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify735.0ms

Counts

106 → 106

Iterations

Useful iterations: done (732.0ms)

Iter	Nodes	Cost
0	182	1628
1	491	1553
2	1889	1263
done	5000	1257

prune257.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize12.0ms

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

149×	`times-frac`
99×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
85×	`add-cube-cbrt`
75×	`add-exp-log`
47×	`add-cbrt-cube`
46×	`associate-r`
34×	`div-exp`
21×	`prod-exp`
18×	`cbrt-undiv`
13×	`cbrt-unprod` `associate-/l*`
11×	`associate-l`
10×	`div-inv`
8×	`pow1`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l/` `associate-/r`
2×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out`
1×	`+-commutative` `frac-times` `frac-2neg` `associate-*r/` `clear-num` `sum-log` `associate-/l/`

Counts

4 → 195

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
20.0ms	(* (+ (exp x) (exp (- x))) y)
6.0ms	(/ (/ 1 z) x)
48.0ms	(* (/ (* (+ (exp x) (exp (- x))) y) 2) (/ (/ 1 z) x))

series188.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
58.0ms	(* (+ (exp x) (exp (- x))) y)
10.0ms	(/ (/ 1 z) x)
97.0ms	(* (/ (* (+ (exp x) (exp (- x))) y) 2) (/ (/ 1 z) x))

simplify1.2s

Counts

207 → 207

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	329	3419
1	983	3012
2	3054	2578
done	5000	2554

prune449.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes198.0ms

Accuracy

96.3% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	22	58
1	29	45
done	29	45

end0.0ms

sample1.1s

Algorithm

intervals

Results

600.0ms

22339×

body

valid