Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

49.0ms

(/ (+ x 1.0) (- 1.0 x))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify126.0ms

Counts: 48 → 48

prune94.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* 1.0 x))
6.2b	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
17.2b	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
257×	`*-un-lft-identity`
201×	`times-frac`
144×	`difference-of-squares`
108×	`unpow-prod-down` `cube-prod`
106×	`associate-l`
72×	`sqr-pow`
65×	`add-cube-cbrt`
51×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`difference-cubes`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`associate-r`
2×	`cbrt-undiv` `frac-times` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-rgt-out` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative`

Counts

3 → 288

Calls

3 calls:

13.0ms	(+ (* x x) (* 1.0 x))
74.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
229.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series249.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (* x x) (* 1.0 x))
74.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
96.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify141.0ms

Counts: 297 → 297

prune744.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* 1.0 x))
1.4b	(/ (+ x 1.0) (* (+ (pow 1.0 6) (- (pow x 6))) 1))
17.2b	(* (* (/ (+ x 1.0) (* (+ (pow 1.0 6) (- (pow x 6))) 1)) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
25.2b	(* (/ (+ x 1.0) (* (+ (pow 1.0 6) (- (pow x 6))) 1)) (+ (pow 1.0 3) (pow x 3)))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
32×	`add-cbrt-cube`
26×	`*-un-lft-identity`
19×	`prod-exp`
18×	`frac-times` `flip3-+` `flip-+`
13×	`associate-*l/` `cbrt-unprod`
12×	`add-sqr-sqrt` `associate-r`
11×	`pow1` `associate-l`
10×	`add-cube-cbrt` `associate-*r/`
9×	`div-exp`
8×	`times-frac` `distribute-lft-out`
6×	`cbrt-undiv` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `pow-prod-down` `associate-/r/` `associate-/l*`
3×	`1-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `distribute-rgt-out` `frac-2neg` `clear-num` `associate-/r*` `sum-log` `sum-cubes` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

10.0ms	(+ (* x x) (* 1.0 x))
44.0ms	(/ (+ x 1.0) (* (+ (pow 1.0 6) (- (pow x 6))) 1))
771.0ms	(* (* (/ (+ x 1.0) (* (+ (pow 1.0 6) (- (pow x 6))) 1)) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
216.0ms	(* (/ (+ x 1.0) (* (+ (pow 1.0 6) (- (pow x 6))) 1)) (+ (pow 1.0 3) (pow x 3)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* x x) (* 1.0 x))
110.0ms	(/ (+ x 1.0) (* (+ (pow 1.0 6) (- (pow x 6))) 1))
133.0ms	(* (* (/ (+ x 1.0) (* (+ (pow 1.0 6) (- (pow x 6))) 1)) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
98.0ms	(* (/ (+ x 1.0) (* (+ (pow 1.0 6) (- (pow x 6))) 1)) (+ (pow 1.0 3) (pow x 3)))

simplify65.0ms

Counts: 137 → 137

prune683.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample423.0ms

Algorithm

intervals

Results

259.0ms

8000×

body

valid