Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	3779
9	2852
8	2267
7	1902
6	1547
5	966
4	418
3	167
2	72
1	38
0	18

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0b	(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
0.1b	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
14.4b	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite7.0ms

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

series321.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
156.0ms	(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
32.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
103.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
3	2288
2	605
1	229
0	118

prune520.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ 6.012459259764103 z) z 3.350343815022304)
0.0b	(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)) y x)
0.1b	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
14.4b	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

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 (+ 6.012459259764103 z) z 3.350343815022304)
0.0ms	(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)) y x)
0.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
8.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

series387.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma (+ 6.012459259764103 z) z 3.350343815022304)
183.0ms	(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)) y x)
47.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
131.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
3	2288
2	605
1	229
0	118

prune528.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)))) y x)
0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.5b	(exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))))
14.4b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma (exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)))) y x)
0.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
5.0ms	(exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))))
4.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

series412.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(fma (exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)))) y x)
44.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
107.0ms	(exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))))
107.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	3363
2	817
1	304
0	169

prune748.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
0.1b	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
3.8b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
19.5b	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
91×	`*-un-lft-identity`
89×	`add-sqr-sqrt` `add-cube-cbrt`
44×	`fma-def`
16×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

49.0ms	(+ (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
0.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
8.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
14.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

series291.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
31.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
57.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
91.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

simplify1.9s

Counts

181 → 181

Iterations

Iter	Nodes
done	5000
2	2516
1	567
0	232

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes241.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 15.9b

bsearch251.0ms

Steps

Iters	Range		Point
11	573579.0075499975	3.0706563307201483e+25	12341183454.066435
8	-4.953784207856335e+31	-3.70830384373117e+28	-4.871791084684599e+31

simplify8.0ms

Iterations

Iter	Nodes
done	28
1	28
0	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

8000×

body

valid