Details

sample62.0ms

Algorithm

intervals

Results

33.0ms

765×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	41	8
3	102	8
4	222	8
5	500	8
6	1889	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.8b	(/ (* (cosh x) (/ y x)) z)

rewrite36.0ms

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:

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

series237.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* (cosh x) (/ y x))
152.0ms	(/ (* (cosh x) (/ y x)) z)

simplify941.0ms

Counts

66 → 66

Iterations

Useful iterations: done (939.0ms)

Iter	Nodes	Cost
0	137	707
1	347	670
2	1562	584
done	5001	570

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
6.8b	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

rewrite114.0ms

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:

14.0ms	(+ (exp x) (exp (- x)))
59.0ms	(* (+ (exp x) (exp (- x))) y)
39.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (exp x) (exp (- x)))
72.0ms	(* (+ (exp x) (exp (- x))) y)
134.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify1.3s

Counts

69 → 69

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	139	1096
1	429	1038
2	2697	809
done	5001	808

prune259.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (* (+ (exp x) (exp (- x))) y) z)
0.0b	(* (+ (exp x) (exp (- x))) y)
5.0b	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite158.0ms

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:

15.0ms	(+ (exp x) (exp (- x)))
27.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
66.0ms	(* (+ (exp x) (exp (- x))) y)
47.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series309.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (exp x) (exp (- x)))
85.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
80.0ms	(* (+ (exp x) (exp (- x))) y)
112.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	182	1628
1	500	1553
2	2852	1279
done	5000	1278

prune348.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (exp x) (exp (- x))) y) z)
0.0b	(* (+ (exp x) (exp (- x))) y)
0.4b	(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
4.8b	(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-exp-log`
92×	`times-frac`
61×	`add-cbrt-cube`
56×	`div-exp`
39×	`add-sqr-sqrt` `*-un-lft-identity`
37×	`add-cube-cbrt`
29×	`cbrt-undiv`
22×	`prod-exp` `associate-/r*`
13×	`div-inv`
12×	`cbrt-unprod`
7×	`pow1` `rec-exp` `1-exp`
6×	`associate-/r/`
5×	`associate-/l*`
4×	`associate-l` `associate-*l/` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 174

Calls

4 calls:

31.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
69.0ms	(* (+ (exp x) (exp (- x))) y)
62.0ms	(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
27.0ms	(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

series453.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
76.0ms	(* (+ (exp x) (exp (- x))) y)
121.0ms	(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
159.0ms	(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

simplify474.0ms

Counts

186 → 186

Iterations

Useful iterations: done (467.0ms)

Iter	Nodes	Cost
0	297	3778
1	894	3334
done	5001	2895

prune528.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes346.0ms

Accuracy

92% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	66
1	34	66
done	34	66

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s

22669×

body

valid