Details

sample48.0ms

Algorithm

intervals

Results

37.0ms

326×

body

valid

simplify77.0ms

Calls

1 calls:

Slowest

76.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize25.0ms

Local error

Found 3 expressions with local error:

3.2b	(* (/ x y) z)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
0.0b	(/ (+ x 4) y)

rewrite160.0ms

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

97.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
19.0ms	(/ (+ x 4) y)
12.0ms	(* (/ x y) z)

series140.0ms

Calls

3 calls:

Slowest

82.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
33.0ms	(/ (+ x 4) y)
25.0ms	(* (/ x y) z)

simplify3.4m

Calls

1076 calls:

Slowest

810.0ms	(fma (/ (sqrt (+ x 4)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x 4)) (cbrt y)) (- (* (* (/ (sqrt x) (sqrt y)) z) (/ (sqrt x) (sqrt y)))))
732.0ms	(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* (* (/ 1 y) z) x)))
712.0ms	(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* (cbrt (* (/ x y) z)) (* (cbrt (* (/ x y) z)) (cbrt (* (/ x y) z))))))
700.0ms	(fma (* (cbrt (/ (+ x 4) y)) (cbrt (/ (+ x 4) y))) (cbrt (/ (+ x 4) y)) (- (* (cbrt z) (* (/ x y) (* (cbrt z) (cbrt z))))))
672.0ms	(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* (* (/ (cbrt x) (sqrt y)) z) (/ (* (cbrt x) (cbrt x)) (sqrt y)))))

prune6.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (/ x y) (- 1 z) (/ 4 y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

1.0ms

(fma (/ x y) (- 1 z) (/ 4 y))

series66.0ms

Calls

1 calls:

Slowest

66.0ms

(fma (/ x y) (- 1 z) (/ 4 y))

simplify421.0ms

Calls

3 calls:

Slowest

149.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
147.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
124.0ms	(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune139.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

3.2b	(/ z (/ y x))
0.0b	(- (/ (+ x 4) y) (/ z (/ y x)))
0.0b	(/ (+ x 4) y)

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

1900×	`times-frac`
1581×	`*-un-lft-identity`
1227×	`add-sqr-sqrt`
1206×	`add-cube-cbrt`
832×	`prod-diff`
280×	`associate-/r*`
228×	`frac-sub`
183×	`distribute-lft-out`
170×	`associate-/l*`
153×	`associate-/r/`
135×	`div-inv`
50×	`clear-num` `frac-2neg`
40×	`associate-/l/`
20×	`flip3-+` `flip-+`
16×	`fma-neg`
10×	`add-cbrt-cube` `add-exp-log`
6×	`difference-of-squares`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Calls

3 calls:

Slowest

104.0ms	(- (/ (+ x 4) y) (/ z (/ y x)))
27.0ms	(/ (+ x 4) y)
9.0ms	(/ z (/ y x))

series124.0ms

Calls

3 calls:

Slowest

58.0ms	(- (/ (+ x 4) y) (/ z (/ y x)))
43.0ms	(/ (+ x 4) y)
22.0ms	(/ z (/ y x))