Details

sample64.0ms

Algorithm

intervals

Results

22.0ms	49×	body	1280	valid
16.0ms	46×	body	640	valid
12.0ms	136×	body	80	valid
4.0ms	13×	body	320	valid
2.0ms	12×	body	160	valid

simplify35.0ms

Calls

1 calls:

Slowest

35.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize13.0ms

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))

rewrite139.0ms

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

85.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
18.0ms	(/ (+ x 1) (- x 1))
7.0ms	(/ x (+ x 1))

series158.0ms

Calls

3 calls:

Slowest

100.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
29.0ms	(/ x (+ x 1))
29.0ms	(/ (+ x 1) (- x 1))

simplify6.9m

Calls

1700 calls:

Slowest

1.1s	(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
1.1s	(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
1.1s	(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
930.0ms	(* (- (+ x 1)) (- x 1))
910.0ms	(* (- (+ x 1)) (- x 1))

prune7.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

2.8b	(- x (fma (+ x 1) (/ (+ x 1) x) 1))
0.0b	(fma (+ x 1) (/ (+ x 1) x) 1)
0.0b	(/ (- x (fma (+ x 1) (/ (+ x 1) x) 1)) (* (/ (+ x 1) x) (- x 1)))
0.0b	(* (/ (+ x 1) x) (- x 1))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

274×	`*-un-lft-identity`
262×	`add-sqr-sqrt`
241×	`times-frac`
135×	`add-cube-cbrt`
112×	`associate-l`
49×	`associate-r`
48×	`frac-times` `associate-/r*`
46×	`difference-of-squares`
39×	`distribute-lft-out--`
38×	`associate-/r/`
29×	`associate-/l*`
28×	`flip3--` `flip--`
27×	`prod-diff` `distribute-lft-out`
24×	`associate-*l/`
18×	`add-cbrt-cube` `add-exp-log`
14×	`unswap-sqr` `associate-/l/`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`div-inv`
7×	`clear-num` `frac-2neg` `difference-of-sqr-1` `*-commutative`
6×	`pow1` `flip3-+` `flip-+` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `fma-udef`
2×	`div-sub` `associate--r+`
1×	`diff-log` `pow-prod-down`

Calls

4 calls:

Slowest

116.0ms	(/ (- x (fma (+ x 1) (/ (+ x 1) x) 1)) (* (/ (+ x 1) x) (- x 1)))
70.0ms	(* (/ (+ x 1) x) (- x 1))
10.0ms	(- x (fma (+ x 1) (/ (+ x 1) x) 1))
0.0ms	(fma (+ x 1) (/ (+ x 1) x) 1)

series563.0ms

Calls

4 calls:

Slowest

179.0ms	(/ (- x (fma (+ x 1) (/ (+ x 1) x) 1)) (* (/ (+ x 1) x) (- x 1)))
173.0ms	(- x (fma (+ x 1) (/ (+ x 1) x) 1))
168.0ms	(* (/ (+ x 1) x) (- x 1))
44.0ms	(fma (+ x 1) (/ (+ x 1) x) 1)

simplify1.9m

Calls

530 calls:

Slowest

979.0ms	(* (+ (pow x 3) (pow 1 3)) (- (* x x) (* 1 1)))
969.0ms	(* (- (+ x 1)) (- x 1))
945.0ms	(/ (- x (fma (+ x 1) (/ (+ x 1) x) 1)) (cbrt (* (/ (+ x 1) x) (- x 1))))
621.0ms	(/ (* (cbrt (- x (fma (+ x 1) (/ (+ x 1) x) 1))) (cbrt (- x (fma (+ x 1) (/ (+ x 1) x) 1)))) (* (/ (+ x 1) x) (+ (sqrt x) 1)))
617.0ms	(/ (sqrt (- x (fma (+ x 1) (/ (+ x 1) x) 1))) (/ 1 (sqrt x)))

prune3.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

262×	`*-un-lft-identity`
210×	`times-frac`
180×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
96×	`associate-l`
59×	`distribute-lft-out`
51×	`associate-/r*`
48×	`frac-times`
42×	`associate-r`
38×	`associate-/r/`
32×	`associate-/l*`
26×	`flip3--` `flip--`
24×	`associate-*l/`
19×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff`
16×	`associate-/l/`
12×	`difference-of-squares` `unswap-sqr`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv`
6×	`cbrt-undiv` `difference-of-sqr-1` `div-exp` `*-commutative` `distribute-lft-out--`
5×	`pow1`
4×	`prod-exp` `associate-*r/` `cbrt-unprod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg`
1×	`pow-prod-down`

Calls

3 calls:

Slowest

102.0ms	(/ (+ (/ -1 x) -3) (* (/ (+ x 1) x) (- x 1)))
62.0ms	(* (/ (+ x 1) x) (- x 1))
28.0ms	(/ (+ x 1) x)

series242.0ms

Calls

3 calls:

Slowest

115.0ms	(* (/ (+ x 1) x) (- x 1))
79.0ms	(/ (+ (/ -1 x) -3) (* (/ (+ x 1) x) (- x 1)))
48.0ms	(/ (+ x 1) x)

simplify49.7s

Calls

472 calls:

Slowest

683.0ms	(* (+ (pow x 3) (pow 1 3)) (- (* x x) (* 1 1)))
594.0ms	(* (- (+ x 1)) (- x 1))
534.0ms	(/ (* (cbrt (+ (/ -1 x) -3)) (cbrt (+ (/ -1 x) -3))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x))))
496.0ms	(/ (* (* (+ (/ -1 x) -3) (+ (/ -1 x) -3)) (+ (/ -1 x) -3)) (* (* (* (/ (+ x 1) x) (- x 1)) (* (/ (+ x 1) x) (- x 1))) (* (/ (+ x 1) x) (- x 1))))
495.0ms	(/ (* (* (+ (/ -1 x) -3) (+ (/ -1 x) -3)) (+ (/ -1 x) -3)) (* (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)) (* (* (- x 1) (- x 1)) (- x 1))))

prune2.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

202×	`*-un-lft-identity`
112×	`add-sqr-sqrt`
94×	`times-frac`
82×	`add-cube-cbrt`
64×	`prod-diff`
51×	`distribute-lft-out`
48×	`frac-sub`
30×	`flip3-+` `flip-+`
26×	`associate-/r/`
24×	`associate-/l*`
22×	`associate-/r*`
12×	`distribute-lft-out--` `difference-of-squares` `associate-/l/`
8×	`add-log-exp`
7×	`add-cbrt-cube` `add-exp-log`
6×	`clear-num` `frac-2neg` `div-inv`
4×	`fma-neg`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `diff-log` `div-exp` `associate--l+` `flip--`
1×	`+-commutative` `sum-log` `sub-neg`

Calls

3 calls:

Slowest

54.0ms	(/ (+ -3 (/ -1 x)) (- (+ x 1) (/ (+ x 1) x)))
44.0ms	(- (+ x 1) (/ (+ x 1) x))
15.0ms	(/ (+ x 1) x)

series107.0ms

Calls

3 calls:

Slowest

50.0ms	(/ (+ x 1) x)
29.0ms	(- (+ x 1) (/ (+ x 1) x))
28.0ms	(/ (+ -3 (/ -1 x)) (- (+ x 1) (/ (+ x 1) x)))