Details

sample50.0ms

Algorithm

intervals

Results

24.0ms

711×

body

valid

simplify878.0ms

Counts: 1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.6b	(/ (* (cosh x) (/ y x)) z)

rewrite48.0ms

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:

23.0ms	(* (cosh x) (/ y x))
21.0ms	(/ (* (cosh x) (/ y x)) z)

series312.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(* (cosh x) (/ y x))
195.0ms	(/ (* (cosh x) (/ y x)) z)

simplify669.0ms

Counts: 66 → 66

prune240.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.7b	(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`associate-r`
22×	`add-sqr-sqrt` `prod-exp`
19×	`times-frac`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-unprod`
11×	`div-exp`
9×	`pow1`
6×	`cbrt-undiv` `frac-times` `cosh-def` `associate-*l/`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp`
2×	`*-commutative` `div-inv` `add-log-exp` `unswap-sqr`
1×	`un-div-inv`

Counts

2 → 84

Calls

2 calls:

19.0ms	(* (cosh x) (/ y x))
59.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

series330.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(* (cosh x) (/ y x))
190.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify1.1s

Counts: 90 → 90

prune307.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)
7.4b	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite185.0ms

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:

25.0ms	(+ (exp x) (exp (- x)))
32.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
66.0ms	(* (+ (exp x) (exp (- x))) y)
56.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series376.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
131.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
81.0ms	(* (+ (exp x) (exp (- x))) y)
139.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify1.0s

Counts: 106 → 106

prune376.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.7b	(/ (/ (+ (exp x) (exp (- x))) 1) (/ (* 2 x) (/ y z)))
7.2b	(/ (* 2 x) (/ y z))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

921×	`times-frac`
421×	`*-un-lft-identity`
305×	`add-sqr-sqrt` `add-cube-cbrt`
74×	`add-exp-log`
58×	`distribute-lft-out`
57×	`div-inv`
56×	`add-cbrt-cube`
49×	`div-exp`
33×	`cbrt-undiv`
31×	`associate-/r*`
19×	`associate-/r/`
17×	`associate-/l*`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`1-exp` `add-log-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `associate-/l/`

Counts

3 → 417

Calls

3 calls:

26.0ms	(+ (exp x) (exp (- x)))
122.0ms	(/ (/ (+ (exp x) (exp (- x))) 1) (/ (* 2 x) (/ y z)))
17.0ms	(/ (* 2 x) (/ y z))

series197.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (exp x) (exp (- x)))
123.0ms	(/ (/ (+ (exp x) (exp (- x))) 1) (/ (* 2 x) (/ y z)))
41.0ms	(/ (* 2 x) (/ y z))

simplify1.1s

Counts: 426 → 426

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes220.0ms

Accuracy

4.7% (6.7b remaining)

Error of 6.8b against oracle of 0.0b and baseline of 7.1b

bsearch91.0ms

Steps

Iters	Range		Point
5	3.599989181956632e-55	1.2184671576200804e-54	1.2004827862446334e-54
6	-2.6534936954524225e-77	-2.5370574918462345e-78	-1.3966363234461108e-77

simplify623.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s

22355×

body

valid