Details

sample521.0ms

Algorithm

intervals

Results

361.0ms	126×	body	2560	valid
86.0ms	66×	body	1280	valid
37.0ms	41×	body	640	valid
11.0ms	256×	pre	80	true
8.0ms	16×	body	320	valid
2.0ms	7×	body	160	valid

simplify29.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize21.0ms

Local error

Found 2 expressions with local error:

1.8b	(- (/ 1 x) (/ 1 (tan x)))
0.0b	(/ 1 (tan x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
12×	`add-cube-cbrt`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log`
5×	`div-inv`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`div-exp` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `tan-quot` `associate-/r/` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 63

Calls

2 calls:

Slowest

50.0ms	(- (/ 1 x) (/ 1 (tan x)))
14.0ms	(/ 1 (tan x))

series117.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

75.0ms	(- (/ 1 x) (/ 1 (tan x)))
42.0ms	(/ 1 (tan x))

simplify1.0s

Counts: 69 → 69

prune528.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (+ 1/3 (* (* x x) 1/45)) x)
0.1b	(* (* x x) 1/45)
0.1b	(* 2/945 (pow x 5))
0.0b	(+ 1/3 (* (* x x) 1/45))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`flip3-+` `associate-*l/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 79

Calls

4 calls:

Slowest

17.0ms	(* (+ 1/3 (* (* x x) 1/45)) x)
16.0ms	(* (* x x) 1/45)
8.0ms	(* 2/945 (pow x 5))
7.0ms	(+ 1/3 (* (* x x) 1/45))

series331.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(* (+ 1/3 (* (* x x) 1/45)) x)
72.0ms	(* 2/945 (pow x 5))
66.0ms	(+ 1/3 (* (* x x) 1/45))
41.0ms	(* (* x x) 1/45)

simplify1.7s

Counts: 91 → 91

prune825.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (+ (* (* 1/91125 (* x x)) (* (* x x) (* x x))) 1/27))
0.4b	(/ (* x (+ (* (* 1/91125 (* x x)) (* (* x x) (* x x))) 1/27)) (+ (* 1/3 1/3) (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 (* (* x x) 1/45)))))
0.1b	(* 1/3 (* (* x x) 1/45))
0.1b	(* (* x x) 1/45)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
20×	`pow1`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`associate-r` `associate-l`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`associate-/r` `flip3-+` `times-frac` `-commutative` `flip-+`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

Slowest

570.0ms	(/ (* x (+ (* (* 1/91125 (* x x)) (* (* x x) (* x x))) 1/27)) (+ (* 1/3 1/3) (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 (* (* x x) 1/45)))))
533.0ms	(* x (+ (* (* 1/91125 (* x x)) (* (* x x) (* x x))) 1/27))
60.0ms	(* 1/3 (* (* x x) 1/45))
14.0ms	(* (* x x) 1/45)

series840.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

464.0ms	(/ (* x (+ (* (* 1/91125 (* x x)) (* (* x x) (* x x))) 1/27)) (+ (* 1/3 1/3) (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 (* (* x x) 1/45)))))
288.0ms	(* x (+ (* (* 1/91125 (* x x)) (* (* x x) (* x x))) 1/27))
44.0ms	(* 1/3 (* (* x x) 1/45))
43.0ms	(* (* x x) 1/45)

simplify820.0ms

Counts: 103 → 103

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x 1/45)
0.2b	(* x 1/45)
0.1b	(* (* (* x 1/45) x) (- (* (* x 1/45) x) 1/3))
0.1b	(* (* x 1/45) x)

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

4 → 85

Calls

4 calls:

Slowest

124.0ms	(* (* (* x 1/45) x) (- (* (* x 1/45) x) 1/3))
27.0ms	(* (* x 1/45) x)
5.0ms	(* x 1/45)
5.0ms	(* x 1/45)

series295.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

184.0ms	(* (* (* x 1/45) x) (- (* (* x 1/45) x) 1/3))
53.0ms	(* (* x 1/45) x)
31.0ms	(* x 1/45)
28.0ms	(* x 1/45)

simplify1.2s

Counts: 97 → 97

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample14.1s

Algorithm

intervals

Results

9.1s	3274×	body	2560	valid
3.0s	2463×	body	1280	valid
1.1s	1297×	body	640	valid
327.0ms	586×	body	320	valid
320.0ms	8000×	pre	80	true
132.0ms	325×	body	160	valid
9.0ms	55×	body	80	valid