Details

sample35.0ms

Algorithm

intervals

Results

24.0ms

316×

body

valid

simplify76.0ms

Calls

1 calls:

Slowest

76.0ms

(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize26.0ms

Local error

Found 3 expressions with local error:

3.8b	(* (/ x y) z)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
0.0b	(/ (+ x 4) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `associate-l/` `add-exp-log` `insert-posit16` `associate-/l`
2×	`div-inv` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Calls

3 calls:

Slowest

14.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
6.0ms	(/ (+ x 4) y)
5.0ms	(* (/ x y) z)

series98.0ms

Calls

3 calls:

Slowest

49.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
25.0ms	(* (/ x y) z)
24.0ms	(/ (+ x 4) y)

simplify928.0ms

Calls

20 calls:

Slowest

178.0ms	(- (* (+ x 4) y) (* y (* x z)))
139.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
130.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
122.0ms	(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
121.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune551.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

6.6b	(* x (/ z y))
0.0b	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
0.0b	(+ (/ x y) (/ 4 y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `associate-r` `associate-*r/` `add-cube-cbrt`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `frac-sub` `insert-posit16` `div-inv`
2×	`sum-log` `flip3-+` `diff-log` `frac-add` `flip-+`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `associate--l+` `*-commutative` `flip--` `distribute-lft-out`

Calls

3 calls:

Slowest

46.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
8.0ms	(+ (/ x y) (/ 4 y))
2.0ms	(* x (/ z y))

series75.0ms

Calls

3 calls:

Slowest

28.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
27.0ms	(+ (/ x y) (/ 4 y))
21.0ms	(* x (/ z y))

simplify2.2s

Calls

28 calls:

Slowest

347.0ms	(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
341.0ms	(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) y)
335.0ms	(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
198.0ms	(/ (exp (+ (/ x y) (/ 4 y))) (exp (* x (/ z y))))
188.0ms	(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* x (/ z y))))

prune596.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

3.6b	(/ (- (+ x 4) (* x z)) y)
0.0b	(- (+ x 4) (* x z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `add-cube-cbrt` `associate-/l`
2×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate--l+` `div-inv`

Calls

2 calls:

Slowest

16.0ms	(/ (- (+ x 4) (* x z)) y)
4.0ms	(- (+ x 4) (* x z))

series42.0ms

Calls

2 calls:

Slowest

27.0ms	(/ (- (+ x 4) (* x z)) y)
15.0ms	(- (+ x 4) (* x z))

simplify1.2s

Calls

12 calls:

Slowest

244.0ms	(- (pow (+ x 4) 3) (pow (* x z) 3))
227.0ms	(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
121.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
121.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
114.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune396.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

3.6b	(/ y (- (+ x 4) (* x z)))
0.2b	(/ 1 (/ y (- (+ x 4) (* x z))))
0.0b	(- (+ x 4) (* x z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r*`
5×	`add-sqr-sqrt` `*-un-lft-identity` `associate-/r/` `add-cube-cbrt` `add-log-exp`
4×	`pow1` `add-exp-log`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `div-inv` `flip--`
2×	`clear-num` `frac-2neg`
1×	`rec-exp` `sub-neg` `diff-log` `associate--l+` `pow-flip` `inv-pow`

Calls

3 calls:

Slowest

8.0ms	(- (+ x 4) (* x z))
5.0ms	(/ y (- (+ x 4) (* x z)))
3.0ms	(/ 1 (/ y (- (+ x 4) (* x z))))

series110.0ms

Calls

3 calls:

Slowest

62.0ms	(/ y (- (+ x 4) (* x z)))
28.0ms	(/ 1 (/ y (- (+ x 4) (* x z))))
19.0ms	(- (+ x 4) (* x z))

simplify2.3s

Calls

23 calls:

Slowest

316.0ms	(- (+ (* 1/64 (* (pow x 2) y)) (* 1/4 y)) (* 1/16 (* x y)))
278.0ms	(+ (* (+ x 4) (+ x 4)) (+ (* (* x z) (* x z)) (* (+ x 4) (* x z))))
257.0ms	(+ (* (+ x 4) (+ x 4)) (+ (* (* x z) (* x z)) (* (+ x 4) (* x z))))
216.0ms	(- (+ (* 4 (/ y (* (pow x 2) (pow z 2)))) (+ (/ y (* x (pow z 2))) (/ y (* x z)))))
200.0ms	(- (+ (* 4 (/ y (* (pow x 2) (pow z 2)))) (+ (/ y (* x (pow z 2))) (/ y (* x z)))))

prune734.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes339.0ms

Accuracy

93% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch9.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

10084×

body

valid