Details

sample34.0ms

Algorithm

intervals

Results

25.0ms

320×

body

valid

simplify59.0ms

Calls

1 calls:

Slowest

59.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize17.0ms

Local error

Found 3 expressions with local error:

2.4b	(* (/ x y) z)
0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))

rewrite17.0ms

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

7.0ms	(* (/ x y) z)
7.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
3.0ms	(/ (+ x 4) y)

series68.0ms

Calls

3 calls:

Slowest

36.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
17.0ms	(* (/ x y) z)
15.0ms	(/ (+ x 4) y)

simplify939.0ms

Calls

20 calls:

Slowest

202.0ms	(- (* (+ x 4) y) (* y (* x z)))
138.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
126.0ms	(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
125.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
109.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune670.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

12.7b	(cbrt (* (/ x y) z))
12.7b	(cbrt (* (/ x y) z))
12.7b	(cbrt (* (/ x y) z))
2.4b	(* (/ x y) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

5.0ms	(* (/ x y) z)
3.0ms	(cbrt (* (/ x y) z))
3.0ms	(cbrt (* (/ x y) z))
3.0ms	(cbrt (* (/ x y) z))

series384.0ms

Calls

4 calls:

Slowest

135.0ms	(cbrt (* (/ x y) z))
112.0ms	(cbrt (* (/ x y) z))
110.0ms	(cbrt (* (/ x y) z))
27.0ms	(* (/ x y) z)

simplify3.5s

Calls

21 calls:

Slowest

866.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
376.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
363.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
352.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))
342.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))

prune977.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

4.1b	(/ (- (+ x 4) (* x z)) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

9.0ms

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

series43.0ms

Calls

1 calls:

Slowest

43.0ms

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

simplify1.0s

Calls

8 calls:

Slowest

271.0ms	(- (pow (+ x 4) 3) (pow (* x z) 3))
209.0ms	(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
145.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
123.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
110.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune251.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

4.1b	(/ y (- (+ x 4) (* x z)))
0.2b	(/ 1 (/ y (- (+ x 4) (* x z))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

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

series91.0ms

Calls

2 calls:

Slowest

58.0ms	(/ y (- (+ x 4) (* x z)))
33.0ms	(/ 1 (/ y (- (+ x 4) (* x z))))

simplify2.6s

Calls

19 calls:

Slowest

384.0ms	(- (+ (* 1/64 (* (pow x 2) y)) (* 1/4 y)) (* 1/16 (* x y)))
310.0ms	(+ (* (+ x 4) (+ x 4)) (+ (* (* x z) (* x z)) (* (+ x 4) (* x z))))
306.0ms	(+ (* (+ x 4) (+ x 4)) (+ (* (* x z) (* x z)) (* (+ x 4) (* x z))))
272.0ms	(- (+ (* 4 (/ y (* (pow x 2) (pow z 2)))) (+ (/ y (* x (pow z 2))) (/ y (* x z)))))
242.0ms	(- (+ (* 4 (/ y (* (pow x 2) (pow z 2)))) (+ (/ y (* x (pow z 2))) (/ y (* x z)))))

prune514.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

95.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.8b

bsearch120.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

10113×

body

valid