Details

sample110.0ms

Algorithm

intervals

Results

68.0ms

459×

body

valid

simplify184.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

184.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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

series551.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

393.0ms	(fma i c (fma a b (fma x y (* z t))))
95.0ms	(fma a b (fma x y (* z t)))
64.0ms	(fma x y (* z t))

simplify189.0ms

Counts

9 → 42

Calls

9 calls:

Slowest

49.0ms	(+ (* a b) (+ (* t z) (* x y)))
49.0ms	(+ (* a b) (+ (* t z) (* x y)))
44.0ms	(+ (* a b) (+ (* t z) (* x y)))
25.0ms	(+ (* a b) (+ (* t z) (* x y)))
8.0ms	(+ (* t z) (* x y))

prune617.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma i c (fma a b (fma x y (* z t)))))
0.5b	(cbrt (fma i c (fma a b (fma x y (* z t)))))
0.5b	(cbrt (fma i c (fma a b (fma x y (* z t)))))
0.5b	(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))

rewrite31.0ms

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

25.0ms	(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
2.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))
1.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))
1.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))

series785.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

227.0ms	(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
202.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))
181.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))
175.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))

simplify8.6s

Counts

65 → 97

Calls

65 calls:

Slowest

337.0ms	(exp (* -1/3 (+ (log (/ 1 c)) (log (/ 1 i)))))
327.0ms	(exp (* -1/3 (+ (log (/ -1 i)) (log (/ -1 c)))))
327.0ms	(exp (* -1/3 (+ (log (/ -1 i)) (log (/ -1 c)))))
304.0ms	(exp (* -1/3 (+ (log (/ -1 i)) (log (/ -1 c)))))
276.0ms	(exp (* -1/3 (+ (log (/ 1 c)) (log (/ 1 i)))))

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

33.9b	(cbrt (* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t))))))
0.5b	(cbrt (fma i c (fma a b (fma x y (* z t)))))
0.3b	(* (cbrt (* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t)))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
0.2b	(* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t)))))

rewrite24.0ms

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

10.0ms	(* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t)))))
10.0ms	(* (cbrt (* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t)))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
3.0ms	(cbrt (* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t))))))
1.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))

series2.6m

Counts

4 → 12

Calls

4 calls:

Slowest

2.6m	(* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t)))))
360.0ms	(* (cbrt (* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t)))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
288.0ms	(cbrt (* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t))))))
199.0ms	(cbrt (fma i c (fma a b (fma x y (* z t)))))

simplify10.4s

Counts

61 → 98

Calls

61 calls:

Slowest

1.7s	(* (* (* (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))))) (* (* (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))))))
517.0ms	(* (* (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)))))
420.0ms	(* (* (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)))))
339.0ms	(exp (* -1/3 (+ (log (/ -1 i)) (log (/ -1 c)))))
292.0ms	(exp (* -1/3 (+ (log (/ 1 c)) (log (/ 1 i)))))

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

41.4b	(cbrt (* (* (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))))))
0.2b	(* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t)))))
0.1b	(* (* (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)))))
0.0b	(fma x y (* z t))

rewrite65.0ms

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

30.0ms	(* (* (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)))))
20.0ms	(cbrt (* (* (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))))))
12.0ms	(* (fma i c (fma a b (fma x y (* z t)))) (fma i c (fma a b (fma x y (* z t)))))
0.0ms	(fma x y (* z t))