Details

sample55.0ms

Algorithm

intervals

Results

27.0ms

716×

body

valid

simplify44.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

1.0ms	(cosh x)
22.0ms	(* (cosh x) (/ y x))
23.0ms	(/ (* (cosh x) (/ y x)) z)

series312.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(cosh x)
99.0ms	(* (cosh x) (/ y x))
129.0ms	(/ (* (cosh x) (/ y x)) z)

simplify65.0ms

Counts: 77 → 77

prune239.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (cosh x)))
0.0b	(* (exp (log (cosh x))) (/ y x))
3.9b	(log (cosh x))
6.6b	(/ (* (exp (log (cosh x))) (/ y x)) z)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
15×	`add-exp-log`
14×	`times-frac`
13×	`associate-r`
11×	`log-prod`
8×	`pow1` `exp-sum`
6×	`log-div` `cosh-def` `associate-l`
5×	`cbrt-undiv` `exp-diff` `div-exp`
4×	`exp-prod` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`associate-/r*` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/` `log-pow` `div-inv`
1×	`frac-2neg` `rem-log-exp` `pow-prod-down` `clear-num` `-commutative` `rem-exp-log` `associate-/l`

Counts

4 → 94

Calls

4 calls:

4.0ms	(exp (log (cosh x)))
42.0ms	(* (exp (log (cosh x))) (/ y x))
3.0ms	(log (cosh x))
48.0ms	(/ (* (exp (log (cosh x))) (/ y x)) z)

series578.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(exp (log (cosh x)))
94.0ms	(* (exp (log (cosh x))) (/ y x))
204.0ms	(log (cosh x))
192.0ms	(/ (* (exp (log (cosh x))) (/ y x)) z)

simplify57.0ms

Counts: 106 → 106

prune396.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* y (cosh x))
0.2b	(* (* y (cosh x)) (/ 1 x))
6.6b	(/ (* (* y (cosh x)) (/ 1 x)) z)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

1.0ms	(cosh x)
13.0ms	(* y (cosh x))
33.0ms	(* (* y (cosh x)) (/ 1 x))
48.0ms	(/ (* (* y (cosh x)) (/ 1 x)) z)

series454.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(cosh x)
90.0ms	(* y (cosh x))
162.0ms	(* (* y (cosh x)) (/ 1 x))
142.0ms	(/ (* (* y (cosh x)) (/ 1 x)) z)

simplify57.0ms

Counts: 114 → 114

prune270.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(/ (cosh x) x)
0.7b	(/ 1 (/ (/ z y) (/ (cosh x) x)))
5.7b	(/ (/ z y) (/ (cosh x) x))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

2564×	`times-frac`
1115×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
190×	`associate-/r*`
139×	`div-inv`
62×	`add-exp-log`
43×	`div-exp`
36×	`add-cbrt-cube`
22×	`cbrt-undiv`
19×	`associate-/l*`
6×	`associate-/r/`
5×	`pow1` `rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`cosh-def` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 983

Calls

4 calls:

7.0ms	(cosh x)
7.0ms	(/ (cosh x) x)
54.0ms	(/ 1 (/ (/ z y) (/ (cosh x) x)))
23.0ms	(/ (/ z y) (/ (cosh x) x))

series587.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(cosh x)
113.0ms	(/ (cosh x) x)
186.0ms	(/ 1 (/ (/ z y) (/ (cosh x) x)))
227.0ms	(/ (/ z y) (/ (cosh x) x))

simplify241.0ms

Counts: 995 → 995

prune4.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes154.0ms

Accuracy

88.3% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 6.9b

bsearch118.0ms

Steps

Iters	Range		Point
10	6.622104143292499e-60	6.825880425414297e-41	2.1261375815719633e-41
6	-0.0029592755767347406	-0.00025680656499688396	-0.0007255320694630307

simplify54.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.7s

22402×

body

valid