Details

sample47.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

2.7b

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

16.3b

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

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)

series325.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

92.0ms

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

202.0ms

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

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	122	869
1	233	849
2	546	762
3	1422	757
done	5001	747

prune365.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.4b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
2.6b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
16.3b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite35.0ms

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:

1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
18.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
5.0ms	(/ (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)

series345.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
84.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
70.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
145.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.2s

Counts

139 → 139

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	227	2439
1	463	2211
2	959	1935
3	2432	1912
done	5000	1908

prune518.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)) x)
0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
2.7b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
18.1b	(* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
5×	`fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

4 → 91

Calls

4 calls:

21.0ms	(+ (* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)) x)
1.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
9.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
30.0ms	(* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525))

series511.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(+ (* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)) x)
32.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
90.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
175.0ms	(* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	180	1858
1	430	1778
2	1299	1625
done	5000	1595

prune504.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))) x)
0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.1b	(* y (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))
15.6b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `fma-udef`

Counts

4 → 87

Calls

4 calls:

17.0ms	(+ (* y (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))) x)
1.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
23.0ms	(* y (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))
5.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series486.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(+ (* y (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))) x)
29.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
153.0ms	(* y (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)))
97.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify2.3s

Counts

99 → 99

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	165	2029
1	380	1939
2	1069	1758
3	3554	1727
done	5000	1723

prune397.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes371.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.3b

bsearch199.0ms

Steps

Iters	Range		Point
10	1.8989103981098473e-07	1173724448.4928873	188100201.10508826
8	-4.149836084787158e+35	-1.081839971723214e+31	-4.051299145905559e+35

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	25	44
1	31	36
done	31	36

end0.0ms

sample805.0ms

Algorithm

intervals

Results

458.0ms

8000×

body

valid