Details

sample94.0ms

Algorithm

intervals

Results

69.0ms

443×

body

valid

simplify163.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

163.0ms

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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

series497.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

344.0ms	(fma i c (fma a b (fma x y (* z t))))
95.0ms	(fma a b (fma x y (* z t)))
59.0ms	(fma x y (* z t))

simplify170.0ms

Counts

9 → 42

Calls

9 calls:

Slowest

36.0ms	(+ (* a b) (+ (* t z) (* x y)))
36.0ms	(+ (* a b) (+ (* t z) (* x y)))
33.0ms	(+ (* a b) (+ (* t z) (* x y)))
31.0ms	(+ (* a b) (+ (* t z) (* x y)))
17.0ms	(+ (* t z) (* x y))

prune687.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

series519.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

353.0ms	(fma i c (fma a b (fma t z (* x y))))
103.0ms	(fma a b (fma t z (* x y)))
63.0ms	(fma t z (* x y))

simplify183.0ms

Counts

9 → 42

Calls

9 calls:

Slowest

57.0ms	(+ (* a b) (+ (* t z) (* x y)))
39.0ms	(+ (* a b) (+ (* t z) (* x y)))
31.0ms	(+ (* a b) (+ (* t z) (* x y)))
31.0ms	(+ (* a b) (+ (* t z) (* x y)))
10.0ms	(+ (* t z) (* x y))

prune648.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (fma a b (fma x y (* z t))))
0.3b	(sqrt (fma a b (fma x y (* z t))))
0.2b	(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
0.0b	(fma x y (* z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 95

Calls

4 calls:

Slowest

18.0ms	(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
3.0ms	(sqrt (fma a b (fma x y (* z t))))
2.0ms	(sqrt (fma a b (fma x y (* z t))))
0.0ms	(fma x y (* z t))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

538.0ms	(sqrt (fma a b (fma x y (* z t))))
498.0ms	(sqrt (fma a b (fma x y (* z t))))
96.0ms	(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
72.0ms	(fma x y (* z t))

simplify5.7s

Counts

81 → 107

Calls

81 calls:

Slowest

719.0ms	(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
678.0ms	(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
677.0ms	(* (fma a b (fma x y (* z t))) (fma a b (fma x y (* z t))))
631.0ms	(* (* (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))) (sqrt (fma a b (fma x y (* z t))))) (* (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))) (sqrt (fma a b (fma x y (* z t))))))
163.0ms	(* (* (cbrt (sqrt (fma a b (fma x y (* z t))))) (cbrt (sqrt (fma a b (fma x y (* z t)))))) (* (cbrt (sqrt (fma a b (fma x y (* z t))))) (cbrt (sqrt (fma a b (fma x y (* z t)))))))

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes834.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.1s

13750×

body

valid