Details

sample111.0ms

Algorithm

intervals

Results

56.0ms	142×	body	80	valid
27.0ms	57×	body	1280	valid
12.0ms	30×	body	640	valid
6.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid

simplify46.0ms

Calls

1 calls:

Slowest

46.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

1418×	`*-un-lft-identity`
984×	`times-frac`
933×	`add-sqr-sqrt`
612×	`prod-diff`
573×	`add-cube-cbrt`
277×	`distribute-lft-out`
178×	`difference-of-squares`
160×	`frac-sub`
145×	`associate-/r*`
110×	`associate-/r/`
100×	`distribute-lft-out--`
95×	`associate-/l*`
87×	`difference-of-sqr-1`
55×	`div-inv`
47×	`flip3-+` `flip-+`
28×	`clear-num` `frac-2neg`
22×	`associate-/l/`
20×	`flip3--` `flip--`
18×	`fma-neg`
7×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `diff-log`

Calls

3 calls:

Slowest

114.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
36.0ms	(/ (+ x 1) (- x 1))
15.0ms	(/ x (+ x 1))

series151.0ms

Calls

3 calls:

Slowest

90.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
31.0ms	(/ (+ x 1) (- x 1))
29.0ms	(/ x (+ x 1))

simplify6.9m

Calls

1700 calls:

Slowest

980.0ms	(* (- (+ x 1)) (- x 1))
938.0ms	(* (- (+ x 1)) (- x 1))
914.0ms	(* (- (+ x 1)) (- x 1))
912.0ms	(fma (/ 1 (sqrt (+ x 1))) (/ x (sqrt (+ x 1))) (- (* (/ 1 (- x 1)) (+ x 1))))
873.0ms	(fma (/ x (- (* x x) (* 1 1))) (- x 1) (- (* (/ (+ x 1) (- (sqrt x) 1)) (/ 1 (+ (sqrt x) 1)))))

prune8.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

85×	`*-un-lft-identity`
64×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
37×	`times-frac`
26×	`distribute-neg-frac`
24×	`frac-times`
22×	`distribute-neg-in`
20×	`associate-/l*`
18×	`associate-r` `prod-diff`
16×	`associate-l`
15×	`associate-/r*`
14×	`distribute-lft-out`
13×	`flip3--` `add-cbrt-cube` `add-exp-log` `flip--`
12×	`associate-*l/`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-/l/`
7×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`pow1`
5×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`sub-neg` `difference-of-sqr-1` `prod-exp` `associate-*r/` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`neg-mul-1` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `fma-udef`

Calls

4 calls:

Slowest

92.0ms	(* (/ (+ x 1) x) (- (- x 1)))
14.0ms	(/ (+ x 1) x)
14.0ms	(/ (+ x 1) x)
0.0ms	(fma (/ (+ x 1) x) (+ x 1) (- 1 x))

series431.0ms

Calls

4 calls:

Slowest

165.0ms	(fma (/ (+ x 1) x) (+ x 1) (- 1 x))
144.0ms	(* (/ (+ x 1) x) (- (- x 1)))
63.0ms	(/ (+ x 1) x)
59.0ms	(/ (+ x 1) x)

simplify21.2s

Calls

202 calls:

Slowest

768.0ms	(* (- (+ x 1)) (- (- x 1)))
671.0ms	(* (/ (+ x 1) 1) (- (- x 1)))
519.0ms	(* (- (+ x 1)) (- (- (* x x) (* 1 1))))
505.0ms	(* 1 (- (- (pow x 3) (pow 1 3))))
504.0ms	(* (+ x 1) (- (- (pow x 3) (pow 1 3))))

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ x 1) x) (- (- x 1)))
0.0b	(/ (+ x 1) x)
0.0b	(/ (+ (/ 1 x) 3) (* (/ (+ x 1) x) (- (- x 1))))
0.0b	(+ (/ 1 x) 3)

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

402×	`*-un-lft-identity`
317×	`times-frac`
260×	`add-sqr-sqrt`
169×	`add-cube-cbrt`
126×	`associate-r`
117×	`distribute-lft-out`
112×	`associate-l`
62×	`associate-/r*`
53×	`div-inv`
52×	`distribute-neg-frac`
49×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
48×	`frac-times`
38×	`associate-/r/`
33×	`associate-/l*`
28×	`difference-of-squares`
26×	`flip3--` `flip--`
24×	`associate-*l/`
22×	`distribute-neg-in`
20×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff`
16×	`associate-/l/`
14×	`difference-of-sqr-1` `distribute-lft-out--` `unswap-sqr`
13×	`fma-def`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`flip3-+` `flip-+`
8×	`clear-num` `frac-2neg`
7×	`neg-mul-1` `*-commutative`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`sub-neg`
1×	`+-commutative` `sum-log` `pow-prod-down` `distribute-rgt-neg-out`

Calls

4 calls:

Slowest

99.0ms	(/ (+ (/ 1 x) 3) (* (/ (+ x 1) x) (- (- x 1))))
47.0ms	(* (/ (+ x 1) x) (- (- x 1)))
15.0ms	(+ (/ 1 x) 3)
14.0ms	(/ (+ x 1) x)

series280.0ms

Calls

4 calls:

Slowest

129.0ms	(* (/ (+ x 1) x) (- (- x 1)))
68.0ms	(/ (+ (/ 1 x) 3) (* (/ (+ x 1) x) (- (- x 1))))
54.0ms	(/ (+ x 1) x)
29.0ms	(+ (/ 1 x) 3)

simplify1.2m

Calls

681 calls:

Slowest

707.0ms	(* (/ x (sqrt (+ x 1))) (+ (* x x) (+ (* 1 1) (* x 1))))
642.0ms	(* (/ (+ x 1) 1) (- (- x 1)))
623.0ms	(/ (* (* (+ (/ 1 x) 3) (+ (/ 1 x) 3)) (+ (/ 1 x) 3)) (* (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)) (* (* (- (- x 1)) (- (- x 1))) (- (- x 1)))))
604.0ms	(* (- (+ x 1)) (- (- x 1)))
478.0ms	(/ (* (* (+ (/ 1 x) 3) (+ (/ 1 x) 3)) (+ (/ 1 x) 3)) (* (* (* (/ (+ x 1) x) (- (- x 1))) (* (/ (+ x 1) x) (- (- x 1)))) (* (/ (+ x 1) x) (- (- x 1)))))

prune2.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x) (/ (+ x 1) x))
0.0b	(/ (+ x 1) x)
0.0b	(/ (+ (/ 1 x) 3) (+ (* (- x) (/ (+ x 1) x)) (+ (/ 1 x) 1)))
0.0b	(+ (/ 1 x) 3)

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

253×	`*-un-lft-identity`
131×	`distribute-lft-out`
94×	`times-frac`
61×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
46×	`associate-l`
36×	`associate-*r/` `div-inv`
32×	`associate-/r/`
30×	`frac-add`
27×	`associate-/l*`
24×	`associate-/r*`
22×	`flip3-+` `flip-+`
21×	`distribute-rgt-neg-in`
16×	`associate-r`
13×	`fma-def` `add-cbrt-cube` `add-exp-log`
10×	`associate-/l/`
9×	`un-div-inv`
8×	`clear-num`
6×	`pow1` `add-log-exp`
5×	`frac-2neg`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `cbrt-undiv` `div-exp`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-neg-out` `+-commutative` `neg-mul-1` `sum-log` `pow-prod-down` `*-commutative`

Calls

4 calls:

Slowest

148.0ms	(/ (+ (/ 1 x) 3) (+ (* (- x) (/ (+ x 1) x)) (+ (/ 1 x) 1)))
27.0ms	(* (- x) (/ (+ x 1) x))
17.0ms	(/ (+ x 1) x)
9.0ms	(+ (/ 1 x) 3)

series125.0ms

Calls

4 calls:

Slowest

44.0ms	(/ (+ x 1) x)
39.0ms	(* (- x) (/ (+ x 1) x))
29.0ms	(/ (+ (/ 1 x) 3) (+ (* (- x) (/ (+ x 1) x)) (+ (/ 1 x) 1)))
14.0ms	(+ (/ 1 x) 3)

simplify24.0s

Calls

274 calls:

Slowest

499.0ms	(+ (* (- x) (/ (+ x 1) x)) (+ (/ 1 x) 1))
331.0ms	(/ (* (* (+ (/ 1 x) 3) (+ (/ 1 x) 3)) (+ (/ 1 x) 3)) (* (* (+ (* (- x) (/ (+ x 1) x)) (+ (/ 1 x) 1)) (+ (* (- x) (/ (+ x 1) x)) (+ (/ 1 x) 1))) (+ (* (- x) (/ (+ x 1) x)) (+ (/ 1 x) 1))))
308.0ms	(* (* x (- x 1)) (+ (* (/ 1 x) (/ 1 x)) (- (* 1 1) (* (/ 1 x) 1))))
276.0ms	(* (/ x (+ x 1)) (+ (* (/ 1 x) (/ 1 x)) (- (* 1 1) (* (/ 1 x) 1))))
273.0ms	(* (/ x (+ x 1)) (+ (* (/ 1 x) (/ 1 x)) (- (* 1 1) (* (/ 1 x) 1))))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

560.0ms	1749×	body	1280	valid
353.0ms	1334×	body	640	valid
235.0ms	3996×	body	80	valid
119.0ms	618×	body	320	valid
53.0ms	303×	body	160	valid