Details

sample78.0ms

Algorithm

intervals

Results

46.0ms

434×

body

valid

simplify168.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

168.0ms

(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (* z t))
0.0b	(fma i c (fma a b (fma x y (* z t))))
0.0b	(fma a b (fma x y (* z t)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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`

Counts

3 → 33

Calls

3 calls:

Slowest

1.0ms	(fma x y (* z t))
0.0ms	(fma i c (fma a b (fma x y (* z t))))
0.0ms	(fma a b (fma x y (* z t)))

series489.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

336.0ms	(fma i c (fma a b (fma x y (* z t))))
94.0ms	(fma a b (fma x y (* z t)))
59.0ms	(fma x y (* z t))

simplify2.8s

Counts

42 → 42

Calls

42 calls:

Slowest

405.0ms	(* (* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t))))) (fma i c (fma a b (fma x y (* z t)))))
385.0ms	(exp (fma i c (fma a b (fma x y (* z t)))))
263.0ms	(* (* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t)))) (fma a b (fma x y (* z t))))
145.0ms	(real->posit16 (fma i c (fma a b (fma x y (* z t)))))
122.0ms	(log1p (fma i c (fma a b (fma x y (* z t)))))

prune706.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a b (fma t z (* x y)))
0.0b	(fma i c (fma a b (fma t z (* x y))))
0.0b	(fma t z (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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`

Counts

3 → 33

Calls

3 calls:

Slowest

0.0ms	(fma a b (fma t z (* x y)))
0.0ms	(fma i c (fma a b (fma t z (* x y))))
0.0ms	(fma t z (* x y))

series455.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

315.0ms	(fma i c (fma a b (fma t z (* x y))))
99.0ms	(fma a b (fma t z (* x y)))
41.0ms	(fma t z (* x y))

simplify3.1s

Counts

42 → 42

Calls

42 calls:

Slowest

459.0ms	(* (* (fma i c (fma a b (fma t z (* x y)))) (fma i c (fma a b (fma t z (* x y))))) (fma i c (fma a b (fma t z (* x y)))))
340.0ms	(exp (fma i c (fma a b (fma t z (* x y)))))
288.0ms	(* (* (fma a b (fma t z (* x y))) (fma a b (fma t z (* x y)))) (fma a b (fma t z (* x y))))
163.0ms	(log1p (fma i c (fma a b (fma t z (* x y)))))
162.0ms	(* (cbrt (fma i c (fma a b (fma t z (* x y))))) (cbrt (fma i c (fma a b (fma t z (* x y))))))

prune677.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

42.2b	(cbrt (* (* (fma i c (fma a b (fma t z (* x y)))) (fma i c (fma a b (fma t z (* x y))))) (fma i c (fma a b (fma t z (* x y))))))
0.3b	(* (fma i c (fma a b (fma t z (* x y)))) (fma i c (fma a b (fma t z (* x y)))))
0.1b	(* (* (fma i c (fma a b (fma t z (* x y)))) (fma i c (fma a b (fma t z (* x y))))) (fma i c (fma a b (fma t z (* x y)))))
0.0b	(fma i c (fma a b (fma t z (* x y))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`fma-udef`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

Slowest

17.0ms	(cbrt (* (* (fma i c (fma a b (fma t z (* x y)))) (fma i c (fma a b (fma t z (* x y))))) (fma i c (fma a b (fma t z (* x y))))))
16.0ms	(* (* (fma i c (fma a b (fma t z (* x y)))) (fma i c (fma a b (fma t z (* x y))))) (fma i c (fma a b (fma t z (* x y)))))
6.0ms	(* (fma i c (fma a b (fma t z (* x y)))) (fma i c (fma a b (fma t z (* x y)))))
0.0ms	(fma i c (fma a b (fma t z (* x y))))