Details

sample45.0ms

Algorithm

intervals

Results

33.0ms

319×

body

valid

simplify70.0ms

Calls

1 calls:

Slowest

69.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize34.0ms

Local error

Found 3 expressions with local error:

3.1b	(* (/ x y) z)
0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`fma-neg` `associate-l` `prod-diff` `div-inv`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `associate-l/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Calls

3 calls:

Slowest

16.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
6.0ms	(/ (+ x 4) y)
5.0ms	(* (/ x y) z)

series147.0ms

Calls

3 calls:

Slowest

51.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
50.0ms	(/ (+ x 4) y)
46.0ms	(* (/ x y) z)

simplify1.5s

Calls

31 calls:

Slowest

220.0ms	(- (* (+ x 4) y) (* y (* x z)))
161.0ms	(fma (+ x 4) (/ 1 y) (- (* z (/ x y))))
115.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
114.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
104.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune635.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

3.1b	(* (/ x y) z)
0.0b	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
0.0b	(+ (/ x y) (/ 4 y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`div-inv`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`fma-neg` `prod-diff`
4×	`fma-def` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `pow1` `distribute-rgt-out` `add-cbrt-cube` `add-exp-log` `frac-sub` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`sum-log` `flip3-+` `diff-log` `frac-add` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `*-commutative` `flip--`

Calls

3 calls:

Slowest

47.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
12.0ms	(+ (/ x y) (/ 4 y))
3.0ms	(* (/ x y) z)

series141.0ms

Calls

3 calls:

Slowest

59.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
49.0ms	(+ (/ x y) (/ 4 y))
32.0ms	(* (/ x y) z)

simplify3.1s

Calls

42 calls:

Slowest

379.0ms	(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
312.0ms	(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
227.0ms	(fma 1 (+ (/ x y) (/ 4 y)) (- (* z (/ x y))))
207.0ms	(fma (/ 1 y) (+ x 4) (- (* z (/ x y))))
185.0ms	(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* (/ x y) z)))

prune753.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

3.1b	(/ (- (+ x 4) (* x z)) y)
0.0b	(- (+ x 4) (* x z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-neg` `prod-diff` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate--l+` `div-inv`

Calls

2 calls:

Slowest

9.0ms	(/ (- (+ x 4) (* x z)) y)
5.0ms	(- (+ x 4) (* x z))

series99.0ms

Calls

2 calls:

Slowest

68.0ms	(/ (- (+ x 4) (* x z)) y)
32.0ms	(- (+ x 4) (* x z))

simplify1.8s

Calls

20 calls:

Slowest

553.0ms	(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
271.0ms	(- (pow (+ x 4) 3) (pow (* x z) 3))
152.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
117.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
113.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune465.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

3.1b	(/ y (- (+ x 4) (* x z)))
0.1b	(/ 1 (/ y (- (+ x 4) (* x z))))
0.0b	(- (+ x 4) (* x z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r*`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-/r/` `add-log-exp`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `fma-neg` `prod-diff` `insert-posit16` `log1p-expm1-u` `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

9.0ms	(- (+ x 4) (* x z))
5.0ms	(/ y (- (+ x 4) (* x z)))
3.0ms	(/ 1 (/ y (- (+ x 4) (* x z))))

series189.0ms

Calls

3 calls:

Slowest

95.0ms	(/ y (- (+ x 4) (* x z)))
67.0ms	(/ 1 (/ y (- (+ x 4) (* x z))))
27.0ms	(- (+ x 4) (* x z))

simplify2.5s

Calls

31 calls:

Slowest

335.0ms	(+ (* (+ x 4) (+ x 4)) (+ (* (* x z) (* x z)) (* (+ x 4) (* x z))))
279.0ms	(+ (* (+ x 4) (+ x 4)) (+ (* (* x z) (* x z)) (* (+ x 4) (* x z))))
269.0ms	(- (+ (* 1/64 (* (pow x 2) y)) (* 1/4 y)) (* 1/16 (* x y)))
239.0ms	(- (+ (* 4 (/ y (* (pow x 2) (pow z 2)))) (+ (/ y (* x (pow z 2))) (/ y (* x z)))))
190.0ms	(- (+ (* 4 (/ y (* (pow x 2) (pow z 2)))) (+ (/ y (* x (pow z 2))) (/ y (* x z)))))

prune746.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

10114×

body

valid