Details

sample523.0ms

Algorithm

intervals

Results

334.0ms	112×	body	2560	valid
119.0ms	84×	body	1280	valid
31.0ms	35×	body	640	valid
11.0ms	256×	pre	80	true
10.0ms	17×	body	320	valid
2.0ms	7×	body	160	valid
0.0ms	1×	body	80	valid

simplify63.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize13.0ms

Local error

Found 1 expressions with local error:

2.4b	(- (/ 1 x) (/ 1 (tan x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
4×	`div-inv`
3×	`add-cube-cbrt` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `insert-posit16` `flip--`

Counts

1 → 30

Calls

1 calls:

Slowest

23.0ms

(- (/ 1 x) (/ 1 (tan x)))

series100.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

100.0ms

(- (/ 1 x) (/ 1 (tan x)))

simplify2.4s

Counts: 33 → 33

prune250.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

Slowest

24.0ms	(* x (+ 1/3 (/ (* x x) 45)))
10.0ms	(/ (* x x) 45)
8.0ms	(* (pow x 5) 2/945)
6.0ms	(+ 1/3 (/ (* x x) 45))

series301.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(* x (+ 1/3 (/ (* x x) 45)))
79.0ms	(* (pow x 5) 2/945)
66.0ms	(+ 1/3 (/ (* x x) 45))
28.0ms	(/ (* x x) 45)

simplify1.7s

Counts: 97 → 97

prune890.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* (+ (/ (* x (* x x)) (/ 91125 (* x (* x x)))) 1/27) x) (+ (* 1/3 1/3) (- (* (/ (* x x) 45) (/ (* x x) 45)) (* 1/3 (/ (* x x) 45)))))
0.3b	(* (+ (/ (* x (* x x)) (/ 91125 (* x (* x x)))) 1/27) x)
0.2b	(* 1/3 (/ (* x x) 45))
0.1b	(/ (* x x) 45)

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

Slowest

266.0ms	(/ (* (+ (/ (* x (* x x)) (/ 91125 (* x (* x x)))) 1/27) x) (+ (* 1/3 1/3) (- (* (/ (* x x) 45) (/ (* x x) 45)) (* 1/3 (/ (* x x) 45)))))
183.0ms	(* (+ (/ (* x (* x x)) (/ 91125 (* x (* x x)))) 1/27) x)
13.0ms	(* 1/3 (/ (* x x) 45))
8.0ms	(/ (* x x) 45)

series762.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

339.0ms	(* (+ (/ (* x (* x x)) (/ 91125 (* x (* x x)))) 1/27) x)
322.0ms	(/ (* (+ (/ (* x (* x x)) (/ 91125 (* x (* x x)))) 1/27) x) (+ (* 1/3 1/3) (- (* (/ (* x x) 45) (/ (* x x) 45)) (* 1/3 (/ (* x x) 45)))))
53.0ms	(* 1/3 (/ (* x x) 45))
47.0ms	(/ (* x x) 45)

simplify812.0ms

Counts: 111 → 111

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ x (+ 1/9 (* (- (/ (* x x) 45) 1/3) (/ (* x x) 45))))
0.4b	(* (+ (* (/ (* (* x x) x) 91125) (* (* x x) x)) 1/27) (/ x (+ 1/9 (* (- (/ (* x x) 45) 1/3) (/ (* x x) 45)))))
0.2b	(* (- (/ (* x x) 45) 1/3) (/ (* x x) 45))
0.1b	(/ (* x x) 45)

rewrite495.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `times-frac`
25×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
22×	`associate-r`
9×	`associate-l`
8×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
4×	`frac-times` `flip3-+` `associate-l/` `associate-/r/` `flip-+` `insert-posit16` `div-inv` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `associate-r/` `-commutative` `flip--` `difference-of-squares`
1×	`distribute-lft-out--`

Counts

4 → 127

Calls

4 calls:

Slowest

402.0ms	(* (+ (* (/ (* (* x x) x) 91125) (* (* x x) x)) 1/27) (/ x (+ 1/9 (* (- (/ (* x x) 45) 1/3) (/ (* x x) 45)))))
69.0ms	(* (- (/ (* x x) 45) 1/3) (/ (* x x) 45))
14.0ms	(/ (* x x) 45)
8.0ms	(/ x (+ 1/9 (* (- (/ (* x x) 45) 1/3) (/ (* x x) 45))))

series736.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

389.0ms	(* (+ (* (/ (* (* x x) x) 91125) (* (* x x) x)) 1/27) (/ x (+ 1/9 (* (- (/ (* x x) 45) 1/3) (/ (* x x) 45)))))
162.0ms	(/ x (+ 1/9 (* (- (/ (* x x) 45) 1/3) (/ (* x x) 45))))
153.0ms	(* (- (/ (* x x) 45) 1/3) (/ (* x x) 45))
32.0ms	(/ (* x x) 45)

simplify1.0s

Counts: 139 → 139

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch8.0ms

end0.0ms

sample14.8s

Algorithm

intervals

Results

9.0s	3193×	body	2560	valid
3.8s	2552×	body	1280	valid
1.1s	1250×	body	640	valid
348.0ms	610×	body	320	valid
285.0ms	8000×	pre	80	true
116.0ms	338×	body	160	valid
10.0ms	57×	body	80	valid