Details

sample20.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

25.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

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:

Slowest

61.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
16.0ms	(/ 1 (- x 1))
15.0ms	(/ x (+ x 1))

series141.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

99.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
27.0ms	(/ x (+ x 1))
15.0ms	(/ 1 (- x 1))

simplify4.8s

Counts

138 → 145

Calls

138 calls:

Slowest

376.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
283.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
276.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
275.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
266.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.9b	(/ 1 (fma x x -1))
0.0b	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
0.0b	(/ x (+ x 1))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
21×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log`
7×	`associate-/r*` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `distribute-lft-out`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-/r/` `div-inv`
1×	`rec-exp` `flip3-+` `1-exp` `flip-+` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 81

Calls

3 calls:

Slowest

8.0ms	(/ 1 (fma x x -1))
8.0ms	(/ x (+ x 1))
0.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

118.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
49.0ms	(/ 1 (fma x x -1))
34.0ms	(/ x (+ x 1))

simplify3.4s

Counts

70 → 90

Calls

70 calls:

Slowest

310.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
299.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
270.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
227.0ms	(- (+ x (pow x 3)) (pow x 2))
217.0ms	(- (+ (pow x 2) (+ (pow x 4) 1)))

prune846.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 231

Calls

4 calls:

Slowest

46.0ms	(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
26.0ms	(/ (+ x 1) x)
20.0ms	(/ 1 (/ (+ x 1) x))
9.0ms	(/ 1 (- x 1))

series243.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

97.0ms	(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
85.0ms	(/ (+ x 1) x)
36.0ms	(/ 1 (/ (+ x 1) x))
24.0ms	(/ 1 (- x 1))

simplify11.5s

Counts

266 → 243

Calls

266 calls:

Slowest

728.0ms	(/ (* (* 1 1) 1) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)))
429.0ms	(* (- x 1) (/ (+ x 1) x))
423.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x))
408.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
341.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x))))

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample848.0ms

Algorithm

intervals

Results

691.0ms

8000×

body

valid