Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	18	21
1	38	18
2	72	18
3	164	17
4	339	17
5	596	17
6	819	17
7	926	17
8	1192	17
9	1633	17
10	1697	17
11	1698	17
done	1698	17

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
4.0b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
16.7b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

1.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
10.0ms	(/ 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)

series469.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
53.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
116.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
263.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	129	985
1	246	962
2	572	857
3	1554	852
done	5000	849

prune414.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

16.1b	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
16.1b	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
16.1b	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
16.7b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

12.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
2.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
2.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
1.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) x)

series858.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
202.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
260.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
182.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) x)

simplify1.5s

Counts

61 → 61

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	108	1532
1	244	1488
2	638	1187
3	2002	995
done	5001	911

prune465.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))
15.9b	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.9b	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
16.7b	(fma (/ (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

258×	`times-frac`
145×	`add-sqr-sqrt`
143×	`add-cube-cbrt` `*-un-lft-identity`
138×	`sqrt-prod`
22×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
6×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-2neg` `clear-num` `fma-udef` `associate-/l/`

Counts

4 → 217

Calls

4 calls:

24.0ms	(/ (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))
3.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series454.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))
74.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
70.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
214.0ms	(fma (/ (/ y (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.6s

Counts

229 → 229

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	318	7057
1	707	6040
2	1454	5562
3	3761	5281
done	5000	5143

prune901.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

16.1b	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
16.1b	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
16.1b	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
16.7b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)) (* (sqrt (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) (sqrt (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))))) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

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

series802.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
216.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
208.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
187.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (* (* (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)) (* (sqrt (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) (sqrt (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))))) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) x)

simplify1.5s

Counts

61 → 61

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	111	1675
1	250	1488
2	665	1187
3	2114	995
done	5001	899

prune445.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes406.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 17.0b

bsearch192.0ms

Steps

Iters	Range		Point
5	68030889.75935516	182642675.8945347	125942949.1297364
8	-1.1154561922801245	-0.00021785999598854965	-0.6121835230050514

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	29	64
1	34	56
done	34	56

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

8000×

body

valid