Details

sample429.0ms

Algorithm

intervals

Results

268.0ms	106×	body	2560	valid
86.0ms	77×	body	1280	valid
32.0ms	44×	body	640	valid
16.0ms	256×	pre	80	true
10.0ms	20×	body	320	valid
3.0ms	8×	body	160	valid
0.0ms	1×	body	80	valid

simplify31.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize50.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (/ 1 x) (/ 1 (tan x)))
0.0b	(/ 1 (tan x))

rewrite47.0ms

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

33.0ms	(- (/ 1 x) (/ 1 (tan x)))
12.0ms	(/ 1 (tan x))

series139.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

108.0ms	(- (/ 1 x) (/ 1 (tan x)))
31.0ms	(/ 1 (tan x))

simplify1.0s

Counts: 69 → 69

prune472.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ 1/3 (* (* x x) 1/45)) x)
0.2b	(* (* x x) 1/45)
0.1b	(* 2/945 (pow x 5))
0.0b	(+ 1/3 (* (* x x) 1/45))

rewrite59.0ms

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

28.0ms	(* (* x x) 1/45)
15.0ms	(* (+ 1/3 (* (* x x) 1/45)) x)
8.0ms	(* 2/945 (pow x 5))
5.0ms	(+ 1/3 (* (* x x) 1/45))

series340.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

132.0ms	(* (+ 1/3 (* (* x x) 1/45)) x)
83.0ms	(+ 1/3 (* (* x x) 1/45))
77.0ms	(* 2/945 (pow x 5))
49.0ms	(* (* x x) 1/45)

simplify1.6s

Counts: 91 → 91

prune792.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

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)))))
0.4b	(* x (+ (* (* 1/91125 (* x x)) (* (* x x) (* x x))) 1/27))
0.2b	(* 1/3 (* (* x x) 1/45))
0.2b	(* (* 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

646.0ms	(/ (* 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)))))
465.0ms	(* x (+ (* (* 1/91125 (* x x)) (* (* x x) (* x x))) 1/27))
51.0ms	(* 1/3 (* (* x x) 1/45))
15.0ms	(* (* x x) 1/45)

series880.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

467.0ms	(/ (* 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)))))
331.0ms	(* x (+ (* (* 1/91125 (* x x)) (* (* x x) (* x x))) 1/27))
52.0ms	(* (* x x) 1/45)
31.0ms	(* 1/3 (* (* x x) 1/45))

simplify840.0ms

Counts: 103 → 103

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/45 x)
0.3b	(* 1/45 x)
0.2b	(* (* (* 1/45 x) x) (- (* (* 1/45 x) x) 1/3))
0.1b	(* (* x x) 1/91125)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`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`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--`

Counts

4 → 86

Calls

4 calls:

Slowest

87.0ms	(* (* (* 1/45 x) x) (- (* (* 1/45 x) x) 1/3))
18.0ms	(* 1/45 x)
14.0ms	(* (* x x) 1/91125)
6.0ms	(* 1/45 x)

series257.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

193.0ms	(* (* (* 1/45 x) x) (- (* (* 1/45 x) x) 1/3))
30.0ms	(* (* x x) 1/91125)
18.0ms	(* 1/45 x)
17.0ms	(* 1/45 x)

simplify2.3s

Counts: 98 → 98

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch8.0ms

end0.0ms

sample14.2s

Algorithm

intervals

Results

8.5s	3251×	body	2560	valid
3.7s	2506×	body	1280	valid
1.0s	1242×	body	640	valid
375.0ms	648×	body	320	valid
306.0ms	8000×	pre	80	true
110.0ms	308×	body	160	valid
8.0ms	45×	body	80	valid