Details

sample39.0ms

Algorithm

intervals

Results

28.0ms

334×

body

valid

simplify95.0ms

Calls

1 calls:

Slowest

95.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize33.0ms

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)

rewrite505.0ms

Algorithm

rewrite-expression-head

Rules

124×	`associate-*l/`
117×	`*-un-lft-identity`
108×	`frac-sub`
96×	`add-sqr-sqrt`
79×	`associate-/l*`
77×	`associate-/r*`
70×	`add-cube-cbrt`
39×	`times-frac`
25×	`frac-2neg`
23×	`clear-num`
20×	`associate-l` `associate-/l/`
16×	`distribute-lft-out`
10×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`distribute-lft-out--`
7×	`sub-div`
6×	`difference-of-squares` `unswap-sqr`
5×	`pow1` `add-log-exp`
3×	`associate-r` `insert-posit16`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--`

Calls

3 calls:

Slowest

370.0ms	(* (/ x y) z)
91.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
36.0ms	(/ (+ x 4) y)

series126.0ms

Calls

3 calls:

Slowest

53.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
42.0ms	(/ (+ x 4) y)
31.0ms	(* (/ x y) z)

simplify34.3s

Calls

325 calls:

Slowest

630.0ms	(* (* y (+ (* x x) (- (* 4 4) (* x 4)))) (/ y (sqrt x)))
559.0ms	(- (* (/ (+ x 4) (sqrt y)) (sqrt y)) (* (sqrt y) (* (/ x (sqrt y)) z)))
470.0ms	(- (* 1 (- y)) (* (/ y (+ x 4)) (* (- x) z)))
454.0ms	(- (* 1 (- y)) (* (/ y (+ x 4)) (* (- x) z)))
415.0ms	(- (* (sqrt (+ x 4)) (- y)) (* (/ y (sqrt (+ x 4))) (* (- x) z)))

prune2.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

810×	`frac-add`
792×	`associate-/r` `associate-/l`
756×	`associate-*l/`
747×	`frac-sub`
571×	`*-un-lft-identity`
558×	`add-sqr-sqrt`
544×	`add-cube-cbrt`
264×	`clear-num` `frac-2neg`
26×	`times-frac`
18×	`associate-l`
10×	`flip3-+` `flip-+` `add-log-exp`
9×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--`
5×	`pow1`
4×	`unswap-sqr`
3×	`associate-r` `insert-posit16` `div-inv` `difference-of-squares`
2×	`+-commutative` `sum-log` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `distribute-rgt-out` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--`

Calls

3 calls:

Slowest

127.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
25.0ms	(+ (/ x y) (/ 4 y))
11.0ms	(* (/ x y) z)

series134.0ms

Calls

3 calls:

Slowest

63.0ms	(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
47.0ms	(+ (/ x y) (/ 4 y))
23.0ms	(* (/ x y) z)

simplify4.8m

Calls

1726 calls:

Slowest

806.0ms	(- (* (+ (* (/ x (* (cbrt y) (cbrt y))) (cbrt y)) (* (cbrt y) (/ 4 (* (cbrt y) (cbrt y))))) (cbrt y)) (* (* (cbrt y) (cbrt y)) (* (/ x (* (cbrt y) (cbrt y))) z)))
767.0ms	(- (* (+ (* (/ x 1) (cbrt y)) (* y (/ 4 (* (cbrt y) (cbrt y))))) (- y)) (* (* y (cbrt y)) (* (- x) z)))
675.0ms	(- (* (+ (* x y) (* y (/ 4 1))) y) (* (* y y) (* (/ x 1) z)))
670.0ms	(- (* (+ (* (- x) y) (* (- y) (/ 4 1))) (sqrt y)) (* (* (- y) y) (* (/ x (sqrt y)) z)))
647.0ms	(- (* (+ (* (sqrt x) (- y)) (* (/ y (sqrt x)) (- 4))) (/ y x)) (* (* (/ y (sqrt x)) (- y)) (* 1 z)))

prune10.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

5.2b	(* x (/ z y))
0.0b	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
0.0b	(+ (/ x y) (/ 4 y))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

984×	`associate-/l*`
972×	`frac-add`
913×	`frac-sub`
900×	`associate-/r*`
756×	`associate-*r/`
715×	`*-un-lft-identity`
627×	`add-sqr-sqrt`
613×	`add-cube-cbrt`
384×	`clear-num`
300×	`frac-2neg`
168×	`un-div-inv`
17×	`times-frac`
13×	`associate-r`
12×	`flip3-+` `flip-+`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-out`
5×	`pow1` `associate-l`
4×	`distribute-lft-out--` `unswap-sqr`
3×	`insert-posit16` `div-inv` `difference-of-squares`
2×	`+-commutative` `sum-log` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `distribute-rgt-out` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--`

Calls

3 calls:

Slowest

122.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
23.0ms	(+ (/ x y) (/ 4 y))
10.0ms	(* x (/ z y))

series127.0ms

Calls

3 calls:

Slowest

59.0ms	(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
48.0ms	(+ (/ x y) (/ 4 y))
21.0ms	(* x (/ z y))