Details

sample47.0ms

Algorithm

intervals

Results

15.0ms	49×	body	1280	valid
12.0ms	46×	body	640	valid
9.0ms	136×	body	80	valid
3.0ms	13×	body	320	valid
2.0ms	12×	body	160	valid

simplify48.0ms

Calls

1 calls:

Slowest

47.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize41.0ms

Local error

Found 3 expressions with local error:

3.0b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b	(/ (+ x 1) (- x 1))
0.0b	(/ x (+ x 1))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

244×	`*-un-lft-identity`
160×	`frac-sub`
149×	`add-sqr-sqrt`
145×	`associate-/r*`
95×	`associate-/l*`
77×	`add-cube-cbrt`
60×	`times-frac`
46×	`distribute-lft-out`
34×	`difference-of-squares`
28×	`clear-num` `frac-2neg` `distribute-lft-out--`
22×	`associate-/l/`
15×	`difference-of-sqr-1`
12×	`flip3-+` `flip-+`
7×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `flip3--` `div-exp` `div-inv` `flip--`
1×	`sub-neg` `diff-log`

Calls

3 calls:

Slowest

100.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
27.0ms	(/ (+ x 1) (- x 1))
16.0ms	(/ x (+ x 1))

series177.0ms

Calls

3 calls:

Slowest

100.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
40.0ms	(/ (+ x 1) (- x 1))
37.0ms	(/ x (+ x 1))

simplify1.4m

Calls

460 calls:

Slowest

778.0ms	(* (+ x 1) (/ (- x 1) (sqrt (+ x 1))))
755.0ms	(* (- (+ x 1)) (- x 1))
713.0ms	(* (- (+ x 1)) (- x 1))
655.0ms	(* (- (+ x 1)) (- x 1))
649.0ms	(* (- (+ x 1)) (/ (- x 1) (+ x 1)))

prune2.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

2.6b	(- x (* (+ x 1) (/ (+ x 1) x)))
0.0b	(/ (- (- x (* (+ x 1) (/ (+ x 1) x))) 1) (* (/ (+ x 1) x) (- x 1)))
0.0b	(* (+ x 1) (/ (+ x 1) x))
0.0b	(* (/ (+ x 1) x) (- x 1))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

728×	`*-un-lft-identity`
470×	`times-frac`
427×	`add-sqr-sqrt`
260×	`associate-l`
232×	`distribute-lft-out--`
181×	`add-cube-cbrt`
100×	`associate-r`
89×	`difference-of-squares`
82×	`distribute-lft-out`
72×	`frac-times`
57×	`associate-/r*`
48×	`associate-/l*`
43×	`difference-of-sqr-1`
38×	`associate-/r/`
28×	`flip3--` `flip--` `unswap-sqr`
26×	`associate-*l/`
23×	`add-cbrt-cube` `add-exp-log`
22×	`flip3-+` `flip-+`
20×	`associate-/l/`
16×	`associate-*r/`
14×	`div-inv`
13×	`*-commutative`
11×	`clear-num`
10×	`frac-2neg`
8×	`pow1`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`insert-posit16`
3×	`sub-neg` `un-div-inv`
2×	`distribute-rgt-in` `distribute-lft-in` `div-sub` `pow-prod-down`
1×	`associate--l-` `diff-log`

Calls

4 calls:

Slowest

1.3s	(/ (- (- x (* (+ x 1) (/ (+ x 1) x))) 1) (* (/ (+ x 1) x) (- x 1)))
77.0ms	(- x (* (+ x 1) (/ (+ x 1) x)))
45.0ms	(* (+ x 1) (/ (+ x 1) x))
41.0ms	(* (/ (+ x 1) x) (- x 1))

series254.0ms

Calls

4 calls:

Slowest

128.0ms	(* (/ (+ x 1) x) (- x 1))
73.0ms	(/ (- (- x (* (+ x 1) (/ (+ x 1) x))) 1) (* (/ (+ x 1) x) (- x 1)))
27.0ms	(- x (* (+ x 1) (/ (+ x 1) x)))
26.0ms	(* (+ x 1) (/ (+ x 1) x))

simplify3.5m

Calls

890 calls:

Slowest

1.0s	(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (/ (+ x 1) x) (/ (+ x 1) x)) (/ (+ x 1) x)))
875.0ms	(/ (- (sqrt (- x (* (+ x 1) (/ (+ x 1) x)))) 1) (* (/ (+ x 1) x) (- x 1)))
849.0ms	(/ (+ (sqrt (- x (* (+ x 1) (/ (+ x 1) x)))) 1) (/ 1 (* (cbrt x) (cbrt x))))
743.0ms	(/ (cbrt (- (- x (* (+ x 1) (/ (+ x 1) x))) 1)) (sqrt (- x 1)))
719.0ms	(* (- (+ x 1)) (- x 1))

prune4.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

457×	`*-un-lft-identity`
382×	`times-frac`
373×	`add-sqr-sqrt`
160×	`associate-l`
155×	`add-cube-cbrt`
84×	`difference-of-squares`
74×	`distribute-lft-out--`
72×	`distribute-lft-out`
70×	`associate-r`
51×	`associate-/r*`
48×	`frac-times`
42×	`difference-of-sqr-1`
38×	`associate-/r/`
36×	`associate-/l*`
28×	`flip3--` `flip--`
24×	`associate-*l/`
20×	`add-cbrt-cube` `add-exp-log` `unswap-sqr`
16×	`associate-/l/`
12×	`div-inv`
10×	`*-commutative`
9×	`add-log-exp`
8×	`clear-num` `frac-2neg`
7×	`flip3-+` `flip-+`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16`
3×	`sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate--l+`
1×	`+-commutative` `sum-log` `div-sub` `pow-prod-down`

Calls

4 calls:

Slowest

194.0ms	(/ (- (+ (/ -1 x) -2) 1) (* (/ (+ x 1) x) (- x 1)))
91.0ms	(- (+ (/ -1 x) -2) 1)
59.0ms	(* (/ (+ x 1) x) (- x 1))
15.0ms	(/ (+ x 1) x)

series340.0ms

Calls

4 calls:

Slowest

142.0ms	(* (/ (+ x 1) x) (- x 1))
91.0ms	(/ (- (+ (/ -1 x) -2) 1) (* (/ (+ x 1) x) (- x 1)))
82.0ms	(/ (+ x 1) x)
24.0ms	(- (+ (/ -1 x) -2) 1)

simplify1.7m

Calls

711 calls:

Slowest

724.0ms	(/ (* (* (- (+ (/ -1 x) -2) 1) (- (+ (/ -1 x) -2) 1)) (- (+ (/ -1 x) -2) 1)) (* (* (* (/ (+ x 1) x) (- x 1)) (* (/ (+ x 1) x) (- x 1))) (* (/ (+ x 1) x) (- x 1))))
708.0ms	(* (- (+ x 1)) (- x 1))
690.0ms	(* (* x (+ (* x x) (- (* 1 1) (* x 1)))) (+ x 1))
689.0ms	(/ (- (sqrt (+ (/ -1 x) -2)) 1) (* (/ (+ x 1) x) (- x 1)))
605.0ms	(/ (cbrt (- (+ (/ -1 x) -2) 1)) (* (/ (+ x 1) x) (- x 1)))

prune4.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite410.0ms

Algorithm

rewrite-expression-head

Rules

470×	`*-un-lft-identity`
430×	`times-frac`
402×	`add-sqr-sqrt`
148×	`add-cube-cbrt`
112×	`distribute-lft-out--` `difference-of-squares`
64×	`distribute-lft-out`
56×	`associate-/l*`
48×	`frac-sub`
29×	`flip3-+` `flip-+`
28×	`associate-/l/`
26×	`difference-of-sqr-1` `associate-/r/`
25×	`associate-/r*`
14×	`add-log-exp`
13×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`div-inv`
7×	`clear-num` `frac-2neg`
6×	`div-exp`
4×	`pow1` `cbrt-undiv` `flip3--` `diff-log` `associate--l+` `insert-posit16` `flip--`
2×	`+-commutative` `sum-log` `sub-neg` `div-sub`
1×	`1-exp`

Calls

4 calls:

Slowest

223.0ms	(/ (/ (- (+ (/ -1 x) -2) 1) 1) (- (+ 1 x) (/ (+ 1 x) x)))
99.0ms	(- (+ (/ -1 x) -2) 1)
41.0ms	(- (+ 1 x) (/ (+ 1 x) x))
28.0ms	(/ (+ 1 x) x)

series187.0ms

Calls

4 calls:

Slowest

62.0ms	(/ (+ 1 x) x)
55.0ms	(- (+ 1 x) (/ (+ 1 x) x))
36.0ms	(- (+ (/ -1 x) -2) 1)
34.0ms	(/ (/ (- (+ (/ -1 x) -2) 1) 1) (- (+ 1 x) (/ (+ 1 x) x)))

simplify58.0s

Calls

580 calls:

Slowest

538.0ms	(- (* (- (* 1 1) (* x x)) x) (* (- 1 x) (+ 1 x)))
516.0ms	(/ (/ (- (+ (/ -1 x) -2) 1) 1) (sqrt (- (+ 1 x) (/ (+ 1 x) x))))
488.0ms	(- (* (- (* 1 1) (* x x)) (/ x (sqrt (+ 1 x)))) (* (- 1 x) (sqrt (+ 1 x))))
482.0ms	(- (* (+ (pow 1 3) (pow x 3)) (cbrt x)) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ (+ 1 x) (* (cbrt x) (cbrt x)))))
479.0ms	(- (* (- (* 1 1) (* x x)) (/ x (+ 1 x))) (* (- 1 x) 1))

prune3.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	1721×	body	1280	valid
410.0ms	4092×	body	80	valid
410.0ms	1267×	body	640	valid
138.0ms	602×	body	320	valid
49.0ms	318×	body	160	valid