Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	302×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	30	8
3	44	8
4	53	8
5	54	8
done	54	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x (+ y z) (* z 5.0))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma x (+ y z) (* z 5.0))

simplify502.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	22	146
1	35	140
2	68	121
3	246	121
4	1236	121
done	5000	121

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.3b	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x (+ y z) (* z 5.0))
1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
7.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x (+ y z) (* z 5.0))
112.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
116.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
27.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

simplify764.0ms

Counts

103 → 103

Iterations

Useful iterations: done (761.0ms)

Iter	Nodes	Cost
0	94	1850
1	192	1273
2	521	1139
3	1731	1082
done	5000	1068

prune225.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
0.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
0.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
147.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
151.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
153.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify819.0ms

Counts

93 → 93

Iterations

Useful iterations: done (816.0ms)

Iter	Nodes	Cost
0	108	1792
1	248	1668
2	674	1503
3	1912	1268
done	5000	1261

prune333.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.2b	(* (pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3) (sqrt (sqrt (fma x (+ y z) (* z 5.0)))))
0.4b	(pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`associate-r`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
19.0ms	(* (pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3) (sqrt (sqrt (fma x (+ y z) (* z 5.0)))))
3.0ms	(pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3)

series573.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
118.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
34.0ms	(* (pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3) (sqrt (sqrt (fma x (+ y z) (* z 5.0)))))
303.0ms	(pow (sqrt (sqrt (fma x (+ y z) (* z 5.0)))) 3)

simplify49.0ms

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	180	3862