Details

sample33.0ms

Algorithm

intervals

Results

23.0ms

324×

body

valid

simplify69.0ms

Calls

1 calls:

Slowest

69.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize26.0ms

Local error

Found 3 expressions with local error:

2.5b	(* (/ x y) z)
0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))

rewrite23.0ms

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

12.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
6.0ms	(/ (+ x 4) y)
5.0ms	(* (/ x y) z)

series66.0ms

Calls

3 calls:

Slowest

30.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
19.0ms	(* (/ x y) z)
18.0ms	(/ (+ x 4) y)

simplify746.0ms

Calls

20 calls:

Slowest

166.0ms	(- (* (+ x 4) y) (* y (* x z)))
95.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
95.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
92.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
71.0ms	(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))

prune578.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

4.2b	(* x (/ z y))
0.0b	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
0.0b	(+ (/ x y) (/ 4 y))

rewrite31.0ms

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

23.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
6.0ms	(+ (/ x y) (/ 4 y))
1.0ms	(* x (/ z y))

series80.0ms

Calls

3 calls:

Slowest

43.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
24.0ms	(+ (/ x y) (/ 4 y))
13.0ms	(* x (/ z y))

simplify2.1s

Calls

28 calls:

Slowest

368.0ms	(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) y)
346.0ms	(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
264.0ms	(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
212.0ms	(- (* (+ (pow (/ x y) 3) (pow (/ 4 y) 3)) y) (* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) (* x z)))
165.0ms	(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* x (/ z y))))

prune698.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

2.5b	(* (/ x y) z)
0.1b	(* (+ x 4) (/ 1 y))
0.0b	(- (* (+ x 4) (/ 1 y)) (* (/ x y) z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-*l/`
7×	`associate-l`
6×	`add-sqr-sqrt` `*-un-lft-identity` `frac-sub` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`frac-times` `flip3-+` `associate-r` `flip-+`
3×	`associate-*r/` `un-div-inv` `insert-posit16`
2×	`*-commutative` `div-inv` `sub-div`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`

Calls

3 calls:

Slowest

13.0ms	(- (* (+ x 4) (/ 1 y)) (* (/ x y) z))
7.0ms	(* (+ x 4) (/ 1 y))
5.0ms	(* (/ x y) z)

series77.0ms

Calls

3 calls:

Slowest

31.0ms	(- (* (+ x 4) (/ 1 y)) (* (/ x y) z))
25.0ms	(* (/ x y) z)
20.0ms	(* (+ x 4) (/ 1 y))

simplify4.0s

Calls

42 calls:

Slowest

419.0ms	(- (* (* (- (* x x) (* 4 4)) (/ 1 y)) y) (* (- x 4) (* x z)))
373.0ms	(- (* (* (+ (pow x 3) (pow 4 3)) (/ 1 y)) y) (* (+ (* x x) (- (* 4 4) (* x 4))) (* x z)))
335.0ms	(* (- (* x x) (* 4 4)) (/ 1 y))
335.0ms	(- (* (* (- (* x x) (* 4 4)) 1) y) (* (* (- x 4) y) (* x z)))
301.0ms	(* (* (+ (* x x) (- (* 4 4) (* x 4))) y) y)

prune779.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

11.6b	(cbrt (* x (/ z y)))
11.6b	(cbrt (* x (/ z y)))
11.6b	(cbrt (* x (/ z y)))
4.2b	(* x (/ z y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-r` `associate-*r/` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3`
1×	`*-commutative` `div-inv`

Calls

4 calls:

Slowest

1.0ms	(* x (/ z y))
1.0ms	(cbrt (* x (/ z y)))
1.0ms	(cbrt (* x (/ z y)))
1.0ms	(cbrt (* x (/ z y)))

series308.0ms

Calls

4 calls:

Slowest

107.0ms	(cbrt (* x (/ z y)))
102.0ms	(cbrt (* x (/ z y)))
76.0ms	(cbrt (* x (/ z y)))
21.0ms	(* x (/ z y))

simplify2.6s

Calls

22 calls:

Slowest

656.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
291.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
287.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))
284.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
262.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))

prune826.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

79.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch153.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

10018×

body

valid