Details

sample60.0ms

Algorithm

intervals

Results

45.0ms

334×

body

valid

simplify109.0ms

Calls

1 calls:

Slowest

109.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize17.0ms

Local error

Found 3 expressions with local error:

3.3b	(* (/ x y) z)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
0.0b	(/ (+ x 4) y)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

597×	`*-un-lft-identity`
512×	`add-sqr-sqrt`
487×	`times-frac`
406×	`add-cube-cbrt`
368×	`prod-diff`
228×	`associate-l`
124×	`associate-*l/`
108×	`frac-sub`
88×	`distribute-lft-out`
79×	`associate-/l*`
77×	`associate-/r*`
51×	`associate-r`
42×	`div-inv`
38×	`unswap-sqr`
25×	`frac-2neg`
23×	`clear-num`
20×	`associate-/l/`
17×	`*-commutative`
16×	`fma-neg`
10×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`distribute-lft-out--`
7×	`sub-div`
6×	`difference-of-squares`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `flip--`

Calls

3 calls:

Slowest

116.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
22.0ms	(/ (+ x 4) y)
14.0ms	(* (/ x y) z)

series135.0ms

Calls

3 calls:

Slowest

66.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
35.0ms	(* (/ x y) z)
33.0ms	(/ (+ x 4) y)

simplify3.4m

Calls

1076 calls:

Slowest

710.0ms	(fma (- (* (/ (cbrt x) (cbrt y)) z)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (* (/ (cbrt x) (cbrt y)) z) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))))
697.0ms	(fma (+ x 4) (/ 1 y) (- (* (* (/ (sqrt x) (sqrt y)) z) (/ (sqrt x) (sqrt y)))))
658.0ms	(- (* (+ (pow x 3) (pow 4 3)) (/ y (cbrt x))) (* (* y (+ (* x x) (- (* 4 4) (* x 4)))) (* (* (cbrt x) (cbrt x)) z)))
645.0ms	(fma (- (* (/ (sqrt x) y) z)) (/ (sqrt x) 1) (* (* (/ (sqrt x) y) z) (/ (sqrt x) 1)))
625.0ms	(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* (* (/ (cbrt x) (sqrt y)) z) (/ (* (cbrt x) (cbrt x)) (sqrt y)))))

prune6.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

3.3b	(* (/ x y) z)
0.0b	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
0.0b	(+ (/ x y) (/ 4 y))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

914×	`*-un-lft-identity`
810×	`frac-add`
792×	`associate-/r` `associate-/l`
756×	`associate-*l/`
749×	`add-sqr-sqrt`
747×	`frac-sub`
695×	`add-cube-cbrt`
264×	`clear-num` `frac-2neg`
259×	`times-frac`
184×	`prod-diff`
122×	`associate-l`
105×	`distribute-lft-out`
60×	`div-inv`
27×	`associate-r`
25×	`distribute-rgt-out`
20×	`unswap-sqr`
13×	`fma-def`
10×	`flip3-+` `flip-+` `add-log-exp`
9×	`*-commutative`
8×	`add-cbrt-cube` `fma-neg` `add-exp-log`
7×	`distribute-lft-out--`
5×	`pow1`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
2×	`+-commutative` `sum-log` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `pow-prod-down` `flip--`

Calls

3 calls:

Slowest

177.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
25.0ms	(+ (/ x y) (/ 4 y))
14.0ms	(* (/ x y) z)

series157.0ms

Calls

3 calls:

Slowest

84.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
49.0ms	(+ (/ x y) (/ 4 y))
24.0ms	(* (/ x y) z)

simplify6.4m

Calls

2111 calls:

Slowest

858.0ms	(+ (* (/ x (* (cbrt y) (cbrt y))) (cbrt y)) (* (cbrt y) (/ 4 (* (cbrt y) (cbrt y)))))
800.0ms	(fma 1 (+ (/ x y) (/ 4 y)) (- (* (* (/ x (cbrt y)) z) (/ 1 (* (cbrt y) (cbrt y))))))
776.0ms	(- (* (+ (* x (cbrt y)) (* y (/ 4 (* (cbrt y) (cbrt y))))) (/ y (cbrt x))) (* (* y (cbrt y)) (* (* (cbrt x) (cbrt x)) z)))
765.0ms	(- (* (+ (* 1 (/ y (sqrt 4))) (* (/ y x) (sqrt 4))) (/ y x)) (* (* (/ y x) (/ y (sqrt 4))) (* 1 z)))
733.0ms	(* (* (/ y x) (- y)) (/ y (cbrt x)))