Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	18	408
1	38	333
2	70	333
3	162	308
4	359	308
5	633	308
6	864	308
7	1037	308
8	1203	308
9	1689	308
10	2182	308
11	2529	308
done	2529	308

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
4.5b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
18.4b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
7.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series341.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
41.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
97.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
176.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.3s

Counts

71 → 71

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	133	20057
1	266	17211
2	725	16911
3	2525	16696
done	5005	16646

prune607.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
4.5b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
18.4b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
4.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

series306.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
32.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
79.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
160.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify2.5s

Counts

71 → 71

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	133	20057
1	266	17211
2	725	16911
3	2525	16696
done	5005	16646

prune504.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.4b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
4.3b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
18.4b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
9.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
4.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
0.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

series750.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
53.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
478.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
168.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) x)

simplify250.0ms

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	229	50455