Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify28.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

23.0ms	(/ 1.0 (- x 1.0))
22.0ms	(/ x (+ x 1.0))
114.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series273.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ 1.0 (- x 1.0))
40.0ms	(/ x (+ x 1.0))
176.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify2.3s

Counts: 96 → 96

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
0.0b	(pow (/ x (+ x 1.0)) 3)
0.1b	(pow (/ 1.0 (- x 1.0)) 3)
0.2b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
142×	`times-frac`
140×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod`
31×	`distribute-lft-out--`
27×	`swap-sqr`
22×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
21×	`associate-r` `associate-l`
16×	`associate-/r/`
13×	`pow1`
8×	`div-inv` `distribute-lft-out`
7×	`flip3--` `flip--`
6×	`cbrt-undiv` `pow-unpow` `div-exp` `add-log-exp`
4×	`pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `flip3-+` `unpow3` `flip-+` `sqr-pow`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub`

Counts

4 → 237

Calls

4 calls:

108.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
28.0ms	(pow (/ x (+ x 1.0)) 3)
31.0ms	(pow (/ 1.0 (- x 1.0)) 3)
89.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
67.0ms	(pow (/ x (+ x 1.0)) 3)
67.0ms	(pow (/ 1.0 (- x 1.0)) 3)
63.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify597.0ms

Counts: 249 → 249

prune818.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ x (+ x 1.0)) 3)
0.1b	(* (/ 1 (* (- x 1.0) (- x 1.0))) (/ (pow 1.0 3) (- x 1.0)))
0.2b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
0.3b	(/ 1 (* (- x 1.0) (- x 1.0)))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

188×	`times-frac`
187×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
120×	`add-exp-log`
93×	`add-cube-cbrt`
87×	`associate-r`
47×	`prod-exp`
46×	`div-exp`
45×	`add-cbrt-cube`
36×	`unpow-prod-down` `cube-prod` `associate-l`
30×	`associate-/r/` `distribute-lft-out--`
27×	`swap-sqr`
24×	`difference-of-squares`
22×	`pow1`
19×	`unswap-sqr`
17×	`flip3--` `flip--`
14×	`cbrt-undiv`
13×	`cbrt-unprod`
10×	`frac-times` `rec-exp` `1-exp`
9×	`pow-exp` `div-inv` `sqr-pow`
8×	`pow-to-exp`
6×	`cube-mult` `pow-flip` `unpow3` `associate-r/` `associate-l/` `distribute-lft-out`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `associate-/l*`
2×	`pow2` `flip3-+` `pow-plus` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `rem-cube-cbrt`
1×	`cube-div` `pow-pow` `frac-2neg` `clear-num` `associate-/r*` `inv-pow`

Counts

4 → 335

Calls

4 calls:

17.0ms	(pow (/ x (+ x 1.0)) 3)
195.0ms	(* (/ 1 (* (- x 1.0) (- x 1.0))) (/ (pow 1.0 3) (- x 1.0)))
79.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
44.0ms	(/ 1 (* (- x 1.0) (- x 1.0)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(pow (/ x (+ x 1.0)) 3)
98.0ms	(* (/ 1 (* (- x 1.0) (- x 1.0))) (/ (pow 1.0 3) (- x 1.0)))
80.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
53.0ms	(/ 1 (* (- x 1.0) (- x 1.0)))

simplify749.0ms

Counts: 347 → 347

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify20.0ms

end0.0ms

sample917.0ms

Algorithm

intervals

Results

726.0ms

8000×

body

valid