Details

sample75.0ms

Algorithm

intervals

Results

53.0ms

418×

body

valid

simplify129.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

129.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

series518.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

355.0ms	(fma i c (fma a b (fma x y (* z t))))
94.0ms	(fma a b (fma x y (* z t)))
69.0ms	(fma x y (* z t))

simplify241.0ms

Counts

9 → 42

Calls

9 calls:

Slowest

55.0ms	(+ (* a b) (+ (* t z) (* x y)))
52.0ms	(+ (* a b) (+ (* t z) (* x y)))
51.0ms	(+ (* a b) (+ (* t z) (* x y)))
39.0ms	(+ (* a b) (+ (* t z) (* x y)))
18.0ms	(+ (* t z) (* x y))

prune683.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 22

Calls

2 calls:

Slowest

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

series441.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

349.0ms	(fma i c (fma a b (fma t z (* x y))))
92.0ms	(fma a b (fma t z (* x y)))

simplify185.0ms

Counts

6 → 28

Calls

6 calls:

Slowest

55.0ms	(+ (* a b) (+ (* t z) (* x y)))
47.0ms	(+ (* a b) (+ (* t z) (* x y)))
43.0ms	(+ (* a b) (+ (* t z) (* x y)))
34.0ms	(+ (* a b) (+ (* t z) (* x y)))
2.0ms	0

prune410.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

2.2b	(cbrt (fma x y (* z t)))
2.2b	(cbrt (fma x y (* z t)))
2.2b	(cbrt (fma x y (* z t)))
0.5b	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

21.0ms	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
2.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
149.0ms	(cbrt (fma x y (* z t)))
148.0ms	(cbrt (fma x y (* z t)))
134.0ms	(cbrt (fma x y (* z t)))

simplify4.8s

Counts

65 → 97

Calls

65 calls:

Slowest

337.0ms	(exp (* -1/3 (+ (log (/ -1 x)) (log (/ -1 y)))))
329.0ms	(+ (* 1/3 (* x (* y (exp (* -1/3 (+ (* 2 (log t)) (* 2 (log z)))))))) (exp (* 1/3 (+ (log z) (log t)))))
327.0ms	(exp (* -1/3 (+ (log (/ -1 x)) (log (/ -1 y)))))
304.0ms	(+ (* 1/3 (* x (* y (exp (* -1/3 (+ (* 2 (log t)) (* 2 (log z)))))))) (exp (* 1/3 (+ (log z) (log t)))))
302.0ms	(exp (* -1/3 (+ (log (/ 1 x)) (log (/ 1 y)))))

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

25.2b	(cbrt (* (fma x y (* z t)) (fma x y (* z t))))
2.2b	(cbrt (fma x y (* z t)))
0.3b	(* (cbrt (* (fma x y (* z t)) (fma x y (* z t)))) (cbrt (fma x y (* z t))))
0.3b	(* (fma x y (* z t)) (fma x y (* z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

Slowest

18.0ms	(* (cbrt (* (fma x y (* z t)) (fma x y (* z t)))) (cbrt (fma x y (* z t))))
6.0ms	(cbrt (* (fma x y (* z t)) (fma x y (* z t))))
5.0ms	(* (fma x y (* z t)) (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

180.0ms	(cbrt (* (fma x y (* z t)) (fma x y (* z t))))
155.0ms	(cbrt (fma x y (* z t)))
64.0ms	(* (fma x y (* z t)) (fma x y (* z t)))
53.0ms	(* (cbrt (* (fma x y (* z t)) (fma x y (* z t)))) (cbrt (fma x y (* z t))))

simplify6.3s

Counts

61 → 98

Calls

61 calls:

Slowest

510.0ms	(* (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))) (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))
301.0ms	(exp (* -1/3 (+ (log (/ -1 x)) (log (/ -1 y)))))
290.0ms	(* (cbrt (* (fma x y (* z t)) (fma x y (* z t)))) (cbrt (fma x y (* z t))))
287.0ms	(* (sqrt (cbrt (* (fma x y (* z t)) (fma x y (* z t))))) (cbrt (sqrt (fma x y (* z t)))))
286.0ms	(+ (* 1/3 (* x (* y (exp (* -1/3 (+ (* 2 (log t)) (* 2 (log z)))))))) (exp (* 1/3 (+ (log z) (log t)))))

prune2.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes969.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.0s

13754×

body

valid