Details

sample38.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
62×	`times-frac`
35×	`add-cube-cbrt`
27×	`fma-def`
14×	`difference-of-squares`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log` `distribute-lft-out--`
7×	`add-cbrt-cube` `difference-of-sqr-1`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `frac-add` `pow-flip` `inv-pow`

Counts

3 → 136

Calls

3 calls:

8.0ms	(/ x (+ x 1))
62.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
17.0ms	(/ 1 (- x 1))

series125.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ x (+ x 1))
72.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
28.0ms	(/ 1 (- x 1))

simplify1.3s

Counts

145 → 145

Iterations

Iter	Nodes
done	2031
3	2031
2	1264
1	401
0	176

prune423.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
0.0b	(/ 1 (- x 1))
2.7b	(log (exp (/ 1 (- x 1))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
75×	`times-frac`
57×	`log-pow`
54×	`exp-prod`
50×	`add-cube-cbrt`
31×	`fma-def`
20×	`difference-of-squares`
11×	`associate-/r*`
10×	`difference-of-sqr-1` `add-exp-log` `distribute-lft-out--`
8×	`pow1` `add-cbrt-cube` `associate-/r/`
6×	`log-prod` `distribute-lft-out` `associate-/l*`
5×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`associate-+l+` `flip3--` `div-exp` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `rem-log-exp` `pow-flip` `inv-pow`

Counts

4 → 180

Calls

4 calls:

8.0ms	(/ x (+ x 1))
142.0ms	(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
9.0ms	(/ 1 (- x 1))
19.0ms	(log (exp (/ 1 (- x 1))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x (+ x 1))
82.0ms	(+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1)))
25.0ms	(/ 1 (- x 1))
21.0ms	(log (exp (/ 1 (- x 1))))

simplify1.1s

Counts

192 → 192

Iterations

Iter	Nodes
done	2001
3	2001
2	1123
1	439
0	231

prune775.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- x 1) x (+ x 1))
0.0b	(* (- x 1) (+ x 1))
15.1b	(/ (fma (- x 1) x (+ x 1)) (* (- x 1) (+ x 1)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
7×	`associate-l` `add-cube-cbrt`
6×	`flip3-+` `flip3--` `flip-+` `flip--`
5×	`pow1`
4×	`associate-r` `associate-l/` `associate-r/`
3×	`expm1-log1p-u` `times-frac` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `difference-of-squares`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `difference-of-sqr-1` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

0.0ms	(fma (- x 1) x (+ x 1))
29.0ms	(* (- x 1) (+ x 1))
27.0ms	(/ (fma (- x 1) x (+ x 1)) (* (- x 1) (+ x 1)))

series377.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(fma (- x 1) x (+ x 1))
92.0ms	(* (- x 1) (+ x 1))
148.0ms	(/ (fma (- x 1) x (+ x 1)) (* (- x 1) (+ x 1)))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	2013
3	2013
2	1579
1	387
0	132

prune438.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample834.0ms

Algorithm

intervals

Results

695.0ms

8000×

body

valid