Details

sample92.0ms

Algorithm

intervals

Results

44.0ms

704×

body

valid

simplify52.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.0b	(/ (* (cosh x) (/ y x)) z)

rewrite64.0ms

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:

35.0ms	(* (cosh x) (/ y x))
25.0ms	(/ (* (cosh x) (/ y x)) z)

series279.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(* (cosh x) (/ y x))
149.0ms	(/ (* (cosh x) (/ y x)) z)

simplify61.0ms

Counts: 66 → 66

prune260.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
5.2b	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

rewrite122.0ms

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:

13.0ms	(+ (exp x) (exp (- x)))
63.0ms	(* (+ (exp x) (exp (- x))) y)
40.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (exp x) (exp (- x)))
107.0ms	(* (+ (exp x) (exp (- x))) y)
134.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify67.0ms

Counts: 69 → 69

prune262.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
0.0b	(* 1/2 (/ (* x y) z))
4.1b	(/ (* x y) z)
5.3b	(/ y (* x z))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

25.0ms	(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
29.0ms	(* 1/2 (/ (* x y) z))
17.0ms	(/ (* x y) z)
13.0ms	(/ y (* x z))

series160.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
35.0ms	(* 1/2 (/ (* x y) z))
21.0ms	(/ (* x y) z)
31.0ms	(/ y (* x z))

simplify53.0ms

Counts: 93 → 93

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (* x y) z))
0.4b	(/ 1 (* x z))
4.1b	(/ (* x y) z)
5.8b	(* y (/ 1 (* x z)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
32×	`add-cbrt-cube`
18×	`add-sqr-sqrt` `prod-exp`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`times-frac` `div-exp`
11×	`pow1`
10×	`cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-l`
4×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-flip` `frac-2neg` `associate-r/` `clear-num` `-commutative` `unswap-sqr`
1×	`un-div-inv` `inv-pow`

Counts

4 → 108

Calls

4 calls:

32.0ms	(* 1/2 (/ (* x y) z))
12.0ms	(/ 1 (* x z))
10.0ms	(/ (* x y) z)
43.0ms	(* y (/ 1 (* x z)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 1/2 (/ (* x y) z))
16.0ms	(/ 1 (* x z))
27.0ms	(/ (* x y) z)
411.0ms	(* y (/ 1 (* x z)))

simplify45.0ms

Counts: 120 → 120

prune301.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (6.9b remaining)

Error of 7.0b against oracle of 0.1b and baseline of 7.0b

bsearch135.0ms

Steps

Iters	Range		Point
5	1.4016864363292013e-27	2.8214275147623435e-27	2.5406453345129323e-27
9	-1.4246018234571108e+20	-433755940707546.5	-7446916366273207.0

simplify53.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

22270×

body

valid