Details

sample60.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify4.9s

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.6b

localize17.0ms

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)
14.2b	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite6.0ms

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)
4.0ms	(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series338.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
174.0ms	(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
52.0ms	(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
88.0ms	(/ (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

prune505.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.1b	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
14.2b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))
14.2b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
10.0ms	(/ (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))

series290.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
49.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
110.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))
96.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

simplify986.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
3	1642
2	433
1	163
0	86

prune957.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* (cbrt (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))) (cbrt (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)))) (cbrt (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))))
14.2b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))
14.2b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))
14.2b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
37×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
23×	`pow1`
16×	`associate-r`
15×	`cbrt-prod` `add-exp-log`
12×	`cbrt-div`
11×	`add-cbrt-cube`
9×	`associate-/r` `pow1/3` `pow-prod-up` `associate-/l`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `prod-exp` `associate-*r/` `pow-sqr` `cbrt-unprod` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 142

Calls

4 calls:

57.0ms	(* (* (cbrt (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))) (cbrt (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)))) (cbrt (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))))
8.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))
7.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))
8.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

series806.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (* (cbrt (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))) (cbrt (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)))) (cbrt (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))))
110.0ms	(/ (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))
486.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

simplify986.0ms

Counts

154 → 154

Iterations

Iter	Nodes
done	5001
2	1408
1	322
0	147

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (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)
3.8b	(/ (fma (+ 6.012459259764103 z) z 3.350343815022304) y)
18.3b	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ 6.012459259764103 z) z 3.350343815022304) y))

rewrite96.0ms

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:

72.0ms	(+ (/ (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)
4.0ms	(/ (fma (+ 6.012459259764103 z) z 3.350343815022304) y)
8.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ 6.012459259764103 z) z 3.350343815022304) y))

series366.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ 6.012459259764103 z) z 3.350343815022304) y)) x)
48.0ms	(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
63.0ms	(/ (fma (+ 6.012459259764103 z) z 3.350343815022304) y)
117.0ms	(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (/ (fma (+ 6.012459259764103 z) z 3.350343815022304) y))

simplify1.5s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
2	2516
1	567
0	232

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes362.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.5b

bsearch238.0ms

Steps

Iters	Range		Point
10	5.670292661026066e-06	47495130.80298876	46791781.54268921
10	-1.1331303099375296e+25	-72632609.50044116	-901013436.7081738

simplify3.0ms

Iterations

Iter	Nodes
done	30
1	30
0	26

end0.0ms

sample1.3s

Algorithm

intervals

Results

906.0ms

8000×

body

valid