Details

sample89.0ms

Algorithm

intervals

Results

48.0ms

750×

body

valid

simplify924.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
6.6b	(/ (* (cosh x) (/ y x)) z)

rewrite34.0ms

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:

15.0ms	(* (cosh x) (/ y x))
17.0ms	(/ (* (cosh x) (/ y x)) z)

series303.0ms

Counts

2 → 6

Calls

2 calls:

143.0ms	(* (cosh x) (/ y x))
160.0ms	(/ (* (cosh x) (/ y x)) z)

simplify856.0ms

Counts: 66 → 66

prune240.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) y)
6.5b	(/ (* (cosh x) y) (* z x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

16.0ms	(* (cosh x) y)
34.0ms	(/ (* (cosh x) y) (* z x))

series255.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* (cosh x) y)
166.0ms	(/ (* (cosh x) y) (* z x))

simplify528.0ms

Counts: 47 → 47

prune146.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `div-inv`
5×	`pow1`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

19.0ms	(/ (* (cosh x) y) z)
12.0ms	(* (cosh x) y)
15.0ms	(/ (/ (* (cosh x) y) z) x)

series398.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ (* (cosh x) y) z)
115.0ms	(* (cosh x) y)
187.0ms	(/ (/ (* (cosh x) y) z) x)

simplify823.0ms

Counts: 98 → 98

prune288.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (cosh x) y) z)
0.0b	(* (cosh x) y)
6.2b	(* (/ (* (cosh x) y) z) (/ 1 x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
25×	`add-sqr-sqrt`
18×	`prod-exp`
17×	`*-un-lft-identity` `times-frac`
16×	`add-cube-cbrt` `div-exp` `associate-r`
10×	`associate-l` `cbrt-unprod`
9×	`cbrt-undiv`
7×	`pow1`
4×	`unswap-sqr`
3×	`rec-exp` `1-exp` `associate-l/` `associate-/r` `div-inv` `add-log-exp`
2×	`cosh-def` `pow-prod-down` `*-commutative`
1×	`frac-times` `frac-2neg` `associate-r/` `clear-num` `un-div-inv` `associate-/l/` `associate-/l`

Counts

3 → 95

Calls

3 calls:

15.0ms	(/ (* (cosh x) y) z)
9.0ms	(* (cosh x) y)
49.0ms	(* (/ (* (cosh x) y) z) (/ 1 x))

series465.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(/ (* (cosh x) y) z)
127.0ms	(* (cosh x) y)
191.0ms	(* (/ (* (cosh x) y) z) (/ 1 x))

simplify1.0s

Counts: 104 → 104

prune279.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

-6.7% (7.6b remaining)

Error of 7.6b against oracle of 0.0b and baseline of 7.1b

bsearch127.0ms

Steps

Iters	Range		Point
7	2.2541525828810957e+17	3.8530826321807794e+19	1.1100678389608288e+19
8	-0.2633679361732773	-0.0008726022300038601	-0.0013835500119336905

simplify440.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s

22293×

body

valid