Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	18	21
1	38	18
2	71	18
3	140	17
4	262	17
5	433	17
6	642	17
7	772	17
8	955	17
9	1095	17
10	1155	17
11	1156	17
done	1156	17

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.6b

localize14.0ms

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)
3.8b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite5.0ms

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:

0.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
2.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series305.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
32.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
80.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
169.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify831.0ms

Counts

71 → 71

Iterations

Useful iterations: done (828.0ms)

Iter	Nodes	Cost
0	129	985
1	246	962
2	581	854
3	1597	849
done	5000	846

prune299.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

13.1b	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
13.1b	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
13.1b	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
14.0b	(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)

rewrite3.0ms

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:

0.0ms	(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)) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) (cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))) x)

series728.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
188.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
189.0ms	(cbrt (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525))
166.0ms	(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)

simplify977.0ms

Counts

61 → 61

Iterations

Useful iterations: 3 (294.0ms)

Iter	Nodes	Cost
0	108	1532
1	244	1488
2	680	1187
3	2464	995
done	5001	995

prune307.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
1.1b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
3.4b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
14.0b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
2.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
0.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series253.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
54.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
56.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
103.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.4s

Counts

139 → 139

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	227	2439
1	478	2255
2	1114	2001
3	2952	1909
done	5000	1909

prune406.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.0b	(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
3.8b	(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
13.1b	(log (fma (+ z 6.012459259764103) z 3.350343815022304))
14.0b	(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

2.0ms	(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
4.0ms	(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
1.0ms	(log (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series356.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))
83.0ms	(/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
89.0ms	(log (fma (+ z 6.012459259764103) z 3.350343815022304))
160.0ms	(fma (/ y (exp (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: 3 (688.0ms)

Iter	Nodes	Cost
0	180	1536
1	352	1313
2	791	1155
3	2054	1148
done	5000	1148

prune325.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

98.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 16.7b

bsearch197.0ms

Steps

Iters	Range		Point
10	1.1101557034144592e-16	0.20340815092809744	0.20031810048360668
9	-1.2400599024953455e+35	-2.6075589359692896e+26	-2.6510917084793137e+26

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	47
1	40	39
done	40	39

end0.0ms

sample519.0ms

Algorithm

intervals

Results

347.0ms

8000×

body

valid