Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify33.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

32.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
41×	`times-frac`
40×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`difference-of-squares`
7×	`add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`pow1` `difference-of-sqr-1` `associate-/r/`
3×	`div-exp` `insert-posit16` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `rec-exp` `sum-log` `flip3--` `1-exp` `frac-add` `pow-flip` `flip--` `inv-pow`

Counts

3 → 103

Calls

3 calls:

Slowest

58.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
18.0ms	(/ 1 (- x 1))
16.0ms	(/ x (+ x 1))

series133.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

78.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
39.0ms	(/ x (+ x 1))
16.0ms	(/ 1 (- x 1))

simplify6.8s

Counts

148 → 112

Calls

148 calls:

Slowest

415.0ms	(* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
392.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
380.0ms	(+ (* (/ 1 (- x 1)) (/ 1 (- x 1))) (- (* (/ x (+ x 1)) (/ x (+ x 1))) (* (/ 1 (- x 1)) (/ x (+ x 1)))))
332.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
318.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune773.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

13.8b	(* (/ 1 (- (* x x) 1)) (+ x 1))
0.4b	(/ 1 (- (* x x) 1))
0.0b	(/ x (+ x 1))
0.0b	(- (* x x) 1)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
50×	`add-sqr-sqrt` `times-frac`
35×	`add-cube-cbrt`
24×	`associate-l`
19×	`add-exp-log`
16×	`difference-of-squares`
13×	`add-cbrt-cube`
10×	`associate-/r*`
8×	`difference-of-sqr-1`
7×	`pow1`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp` `distribute-lft-out`
4×	`associate-r` `prod-exp` `insert-posit16`
3×	`cbrt-undiv` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--` `unswap-sqr`
2×	`frac-times` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*r/` `cbrt-unprod`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 150

Calls

4 calls:

Slowest

65.0ms	(* (/ 1 (- (* x x) 1)) (+ x 1))
22.0ms	(/ 1 (- (* x x) 1))
8.0ms	(/ x (+ x 1))
7.0ms	(- (* x x) 1)

series141.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

48.0ms	(/ 1 (- (* x x) 1))
43.0ms	(- (* x x) 1)
27.0ms	(* (/ 1 (- (* x x) 1)) (+ x 1))
22.0ms	(/ x (+ x 1))

simplify21.8s

Counts

204 → 162

Calls

204 calls:

Slowest

499.0ms	(/ (cbrt 1) (cbrt (- (* x x) 1)))
463.0ms	(* (/ 1 (- (* x x) 1)) (- (* x x) (* 1 1)))
415.0ms	(* (/ 1 (- (* x x) 1)) (sqrt (+ x 1)))
383.0ms	(/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)))
348.0ms	(exp (* (/ 1 (- (* x x) 1)) (+ x 1)))

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (exp (/ 1 (- x 1))))
0.0b	(/ 1 (- x 1))
0.0b	(/ x (+ x 1))
0.0b	(exp (/ 1 (- x 1)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
86×	`*-un-lft-identity`
75×	`times-frac`
54×	`exp-prod`
48×	`add-cube-cbrt`
28×	`log-pow`
20×	`difference-of-squares`
11×	`associate-/r*`
10×	`difference-of-sqr-1` `add-exp-log` `distribute-lft-out--`
8×	`add-cbrt-cube` `associate-/r/`
6×	`pow1` `associate-/l*`
5×	`add-log-exp`
4×	`insert-posit16` `div-inv` `distribute-lft-out`
3×	`log-prod` `flip3--` `div-exp` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `flip3-+` `1-exp` `rem-log-exp` `flip-+` `pow-flip` `inv-pow` `rem-exp-log`

Counts

4 → 160

Calls

4 calls:

Slowest

25.0ms	(log (exp (/ 1 (- x 1))))
13.0ms	(exp (/ 1 (- x 1)))
9.0ms	(/ 1 (- x 1))
8.0ms	(/ x (+ x 1))

series92.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

32.0ms	(exp (/ 1 (- x 1)))
23.0ms	(log (exp (/ 1 (- x 1))))
22.0ms	(/ x (+ x 1))
15.0ms	(/ 1 (- x 1))

simplify8.2s

Counts

207 → 172

Calls

207 calls:

Slowest

398.0ms	(- (exp -1) (+ (* x (exp -1)) (* 1/2 (* (pow x 2) (exp -1)))))
323.0ms	(* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1)))
308.0ms	(log (exp (/ 1 (- (pow x 3) (pow 1 3)))))
306.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
287.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 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

sample857.0ms

Algorithm

intervals

Results

744.0ms

8000×

body

valid