Details

sample61.0ms

Algorithm

intervals

Results

19.0ms	49×	body	640	valid
15.0ms	145×	body	80	valid
14.0ms	47×	body	320	valid
3.0ms	15×	body	160	valid

simplify41.0ms

Calls

1 calls:

Slowest

41.0ms

(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize24.0ms

Local error

Found 3 expressions with local error:

2.2b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

200×	`*-un-lft-identity`
158×	`add-sqr-sqrt`
133×	`associate-/r*`
130×	`frac-sub`
78×	`add-cube-cbrt`
75×	`associate-/l*`
69×	`times-frac`
37×	`distribute-lft-out--` `difference-of-squares`
25×	`clear-num` `frac-2neg`
23×	`distribute-lft-out`
14×	`difference-of-sqr-1`
11×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv`
5×	`pow1` `add-log-exp`
4×	`div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log`

Calls

3 calls:

Slowest

98.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
17.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (+ x 1))

series118.0ms

Calls

3 calls:

Slowest

70.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
25.0ms	(/ 1 (- x 1))
23.0ms	(/ 1 (+ x 1))

simplify1.7m

Calls

411 calls:

Slowest

32.9s	(- (* 1 (/ (- x 1) (cbrt 1))) (* (/ (+ x 1) 1) (* (cbrt 1) (cbrt 1))))
735.0ms	(- (* (/ 1 (sqrt (+ x 1))) (- (- x 1))) (* (sqrt (+ x 1)) (- 1)))
734.0ms	(* (/ (+ x 1) (sqrt 1)) (- (- x 1)))
727.0ms	(* (/ (+ x 1) (cbrt 1)) (- (- x 1)))
700.0ms	(* (- (+ x 1)) (- x 1))

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ -2 (* (+ x 1) (- x 1)))
0.0b	(* (+ x 1) (- x 1))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
51×	`times-frac`
35×	`associate-r`
34×	`add-cube-cbrt`
20×	`associate-l`
17×	`associate-/r*`
10×	`difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
6×	`flip3-+` `flip3--` `flip-+` `flip--`
5×	`difference-of-sqr-1` `*-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
4×	`pow1` `associate-l/` `associate-r/`
3×	`associate-/l*`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `div-inv`

Calls

2 calls:

Slowest

48.0ms	(/ -2 (* (+ x 1) (- x 1)))
29.0ms	(* (+ x 1) (- x 1))

series201.0ms

Calls

2 calls:

Slowest

119.0ms	(* (+ x 1) (- x 1))
82.0ms	(/ -2 (* (+ x 1) (- x 1)))

simplify17.0s

Calls

169 calls:

Slowest

1.1s	(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- x 1) (- x 1)) (- x 1)))
590.0ms	(* (- x 1) (+ (* x x) (+ (* 1 1) (* x 1))))
555.0ms	(* (- x 1) (+ (* x x) (+ (* 1 1) (* x 1))))
478.0ms	(* (+ (pow x 3) (pow 1 3)) (- (pow x 3) (pow 1 3)))
478.0ms	(* (+ (pow x 3) (pow 1 3)) (- (* x x) (* 1 1)))

prune816.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ -2 (+ x 1)) (- x 1))
0.0b	(/ -2 (+ x 1))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
211×	`*-un-lft-identity`
172×	`add-sqr-sqrt`
96×	`add-cube-cbrt`
38×	`difference-of-squares`
29×	`distribute-lft-out`
24×	`associate-/l*`
20×	`associate-/r/`
19×	`difference-of-sqr-1` `distribute-lft-out--`
15×	`associate-/r*`
10×	`div-inv` `associate-/l/`
9×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`clear-num` `frac-2neg`
2×	`pow1` `insert-posit16` `add-log-exp`
1×	`flip3--` `flip--`

Calls

2 calls:

Slowest

18.0ms	(/ (/ -2 (+ x 1)) (- x 1))
8.0ms	(/ -2 (+ x 1))

series106.0ms

Calls

2 calls:

Slowest

82.0ms	(/ (/ -2 (+ x 1)) (- x 1))
24.0ms	(/ -2 (+ x 1))

simplify26.0s

Calls

328 calls:

Slowest

532.0ms	(/ (* (* (/ -2 (+ x 1)) (/ -2 (+ x 1))) (/ -2 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
422.0ms	(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))
419.0ms	(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
406.0ms	(/ (/ -2 (+ (pow x 3) (pow 1 3))) (sqrt (- x 1)))
386.0ms	(/ (/ (* (cbrt -2) (cbrt -2)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (/ -2 (* (+ x 1) (- (* x x) (* 1 1)))) (+ x 1))
0.2b	(/ -2 (* (+ x 1) (- (* x x) (* 1 1))))
0.0b	(* (+ x 1) (- (* x x) (* 1 1)))
0.0b	(- (* x x) (* 1 1))

rewrite935.0ms

Algorithm

rewrite-expression-head

Rules

1171×	`add-sqr-sqrt`
840×	`*-un-lft-identity`
665×	`associate-r`
540×	`difference-of-squares`
416×	`times-frac`
375×	`unswap-sqr`
335×	`associate-l`
276×	`associate-/r*` `swap-sqr`
204×	`*-commutative`
180×	`add-cube-cbrt`
162×	`frac-times`
132×	`distribute-lft-out--`
85×	`flip3-+` `flip-+`
81×	`associate-*l/`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r/`
12×	`distribute-lft-out` `associate-/l*`
10×	`flip3--` `flip--`
8×	`pow1` `associate-*r/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `insert-posit16`
3×	`sub-neg`
2×	`+-commutative` `pow-prod-down` `div-inv`
1×	`diff-log`

Calls

4 calls:

Slowest

604.0ms	(* (/ -2 (* (+ x 1) (- (* x x) (* 1 1)))) (+ x 1))
171.0ms	(/ -2 (* (+ x 1) (- (* x x) (* 1 1))))
90.0ms	(* (+ x 1) (- (* x x) (* 1 1)))
24.0ms	(- (* x x) (* 1 1))

series203.0ms

Calls

4 calls:

Slowest

72.0ms	(* (/ -2 (* (+ x 1) (- (* x x) (* 1 1)))) (+ x 1))
57.0ms	(- (* x x) (* 1 1))
39.0ms	(* (+ x 1) (- (* x x) (* 1 1)))
34.0ms	(/ -2 (* (+ x 1) (- (* x x) (* 1 1))))

simplify5.6m

Calls

1311 calls:

Slowest

33.6s	(+ (- (log -2) (+ (log (+ x 1)) (log (- (* x x) (* 1 1))))) (log (+ x 1)))
33.4s	(/ (* (cbrt -2) (cbrt -2)) (* (+ x 1) (+ x (sqrt (* 1 1)))))
32.5s	(* (sqrt -2) (- (* x x) (* 1 1)))
1.6s	(* (/ -2 (* (+ x 1) (+ (* (sqrt x) (sqrt x)) 1))) (+ x 1))
1.5s	(* (/ -2 (* (+ x 1) (+ x (* (sqrt 1) (sqrt 1))))) (+ x 1))

prune6.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

737.0ms	2029×	body	640	valid
372.0ms	4088×	body	80	valid
355.0ms	1268×	body	320	valid
115.0ms	615×	body	160	valid