Details

sample323.0ms

Algorithm

intervals

Results

51.0ms

256×

body

valid

simplify11.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2373
12	2373
11	2369
10	2074
9	1661
8	1198
7	1000
6	820
5	606
4	360
3	162
2	70
1	38
0	18

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.6b

localize45.0ms

Local error

Found 3 expressions with local error:

0.1b

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

3.7b

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

17.4b

(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

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)

11.0ms

(/ 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)

series1.1s

Counts

3 → 9

Calls

3 calls:

87.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

187.0ms

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

800.0ms

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

simplify6.7s

Counts

58 → 58

Iterations

Iter	Nodes
done	5003
3	2479
2	684
1	238
0	122

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.1b

(fma z (fma 0.0692910599291889 z 0.4917317610505968) 0.279195317918525)

3.7b

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

17.4b

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

10.0ms

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

1.0ms

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

series665.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms

(fma z (fma 0.0692910599291889 z 0.4917317610505968) 0.279195317918525)

137.0ms

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

458.0ms

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

simplify10.6s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	2480
2	684
1	238
0	122

prune2.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.3b	(/ 1 (/ (fma z (+ 6.012459259764103 z) 3.350343815022304) y))
3.6b	(/ (fma z (+ 6.012459259764103 z) 3.350343815022304) y)
17.4b	(fma (/ 1 (/ (fma z (+ 6.012459259764103 z) 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite57.0ms

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)
24.0ms	(/ 1 (/ (fma z (+ 6.012459259764103 z) 3.350343815022304) y))
21.0ms	(/ (fma z (+ 6.012459259764103 z) 3.350343815022304) y)
2.0ms	(fma (/ 1 (/ (fma z (+ 6.012459259764103 z) 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series1.8s

Counts

4 → 12

Calls

4 calls:

380.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
313.0ms	(/ 1 (/ (fma z (+ 6.012459259764103 z) 3.350343815022304) y))
265.0ms	(/ (fma z (+ 6.012459259764103 z) 3.350343815022304) y)
855.0ms	(fma (/ 1 (/ (fma z (+ 6.012459259764103 z) 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify15.1s

Counts

139 → 139

Iterations

Iter	Nodes
done	5011
3	3729
2	1148
1	508
0	227

prune3.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.2b	(/ 1 (fma z (+ 6.012459259764103 z) 3.350343815022304))
3.9b	(* y (/ 1 (fma z (+ 6.012459259764103 z) 3.350343815022304)))
17.4b	(fma (* y (/ 1 (fma z (+ 6.012459259764103 z) 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
11.0ms	(/ 1 (fma z (+ 6.012459259764103 z) 3.350343815022304))
72.0ms	(* y (/ 1 (fma z (+ 6.012459259764103 z) 3.350343815022304)))
1.0ms	(fma (* y (/ 1 (fma z (+ 6.012459259764103 z) 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

105.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
84.0ms	(/ 1 (fma z (+ 6.012459259764103 z) 3.350343815022304))
126.0ms	(* y (/ 1 (fma z (+ 6.012459259764103 z) 3.350343815022304)))
696.0ms	(fma (* y (/ 1 (fma z (+ 6.012459259764103 z) 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify6.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5026
3	3630
2	1022
1	368
0	170

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

99.5% (0.1b remaining)

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

bsearch1.1s

Steps

Iters	Range		Point
9	14127485.489807976	332285973929163.2	186841422.6442937
6	-5848996208697.932	-822849273294.6077	-1029710412402.1294

simplify58.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end2.0ms

sample6.6s

Algorithm

intervals

Results

6.0s

8000×

body

valid