Details

sample60.0ms

Algorithm

intervals

Results

44.0ms

329×

body

valid

simplify89.0ms

Calls

1 calls:

Slowest

88.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize34.0ms

Local error

Found 3 expressions with local error:

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

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)

series82.0ms

Calls

3 calls:

Slowest

37.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
30.0ms	(* (/ x y) z)
14.0ms	(/ (+ x 4) y)

simplify1.8s

Calls

31 calls:

Slowest

248.0ms	(- (* (+ x 4) y) (* y (* x z)))
202.0ms	(fma (+ x 4) (/ 1 y) (- (* z (/ x y))))
166.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
149.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
134.0ms	(fma 1 (/ (+ x 4) y) (- (* z (/ x y))))

prune588.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`fma-def` `associate-l`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*`
2×	`sum-log` `flip3-+` `associate-*l/` `flip-+` `associate-/l/`
1×	`neg-sub0` `+-commutative` `clear-num` `associate-+r-` `frac-2neg` `unsub-neg` `neg-log` `frac-add` `*-commutative` `distribute-neg-frac` `distribute-lft-out`

Calls

3 calls:

Slowest

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

series66.0ms

Calls

3 calls:

Slowest

30.0ms	(+ (/ (+ x 4) y) (- (* (/ x y) z)))
21.0ms	(* (/ x y) z)
14.0ms	(/ (+ x 4) y)

simplify1.2s

Calls

27 calls:

Slowest

288.0ms	(+ (* (+ x 4) y) (* y (- (* x z))))
152.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
133.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
132.0ms	(* (exp (/ (+ x 4) y)) (/ 1 (exp (* (/ x y) z))))
99.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune769.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

9.9b	(cbrt (* (/ x y) z))
9.9b	(cbrt (* (/ x y) z))
9.9b	(cbrt (* (/ x y) z))
4.2b	(* (/ x y) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `associate-l` `associate-*l/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3`
1×	`*-commutative` `div-inv`

Calls

4 calls:

Slowest

7.0ms	(cbrt (* (/ x y) z))
5.0ms	(* (/ x y) z)
4.0ms	(cbrt (* (/ x y) z))
3.0ms	(cbrt (* (/ x y) z))

series319.0ms

Calls

4 calls:

Slowest

110.0ms	(cbrt (* (/ x y) z))
94.0ms	(cbrt (* (/ x y) z))
93.0ms	(cbrt (* (/ x y) z))
23.0ms	(* (/ x y) z)

simplify2.6s

Calls

21 calls:

Slowest

335.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))
333.0ms	(exp (* 1/3 (- (log (/ 1 y)) (+ (log (/ 1 z)) (log (/ 1 x))))))
327.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
314.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
312.0ms	(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))

prune829.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

2.7b	(/ (- (+ x 4) (* x z)) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

10.0ms

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

series43.0ms

Calls

1 calls:

Slowest

43.0ms

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

simplify1.1s

Calls

8 calls:

Slowest

283.0ms	(- (pow (+ x 4) 3) (pow (* x z) 3))
193.0ms	(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
158.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
154.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
133.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune165.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

-27.2% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.6b

bsearch111.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.6s

10165×

body

valid