Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	38	7
1	72	7
2	167	6
3	354	6
4	646	6
5	921	6
6	1060	6
7	1331	6
8	1792	6
9	1860	6
10	1861	6
11	1861	6

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.6b

localize12.0ms

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)
5.2b	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
13.4b	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite4.0ms

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)

series264.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
32.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
70.0ms	(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
141.0ms	(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify108.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	245	408
1	760	361
2	3482	358
3	5001	356

prune289.0ms

Filtered

71 candidates to 59 candidates (83.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)
5.2b	(/ y (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1))
13.4b	(fma (/ y (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

21×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
9×	`add-exp-log`
7×	`associate-/r*`
6×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`div-exp` `fma-udef` `associate-/l*`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
1.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
4.0ms	(/ y (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1))
0.0ms	(fma (/ y (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series468.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(fma (+ z 6.012459259764103) z 3.350343815022304)
26.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
69.0ms	(/ y (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1))
140.0ms	(fma (/ y (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	307	594
1	1076	508
2	5001	498

prune299.0ms

Filtered

89 candidates to 62 candidates (69.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2))
13.1b	(cbrt (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1))
13.1b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
13.4b	(fma (/ (/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2)) (cbrt (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`unpow-prod-down`
22×	`cbrt-prod`
11×	`associate-/r*`
9×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`sqr-pow`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp`
3×	`div-exp` `associate-/l*`
2×	`pow1/3`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 103

Calls

4 calls:

5.0ms	(/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2))
1.0ms	(cbrt (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1))
1.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ (/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2)) (cbrt (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series561.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2))
112.0ms	(cbrt (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1))
112.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
139.0ms	(fma (/ (/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2)) (cbrt (pow (fma (+ z 6.012459259764103) z 3.350343815022304) 1))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	501	1095
1	1936	969
2	5001	934

prune533.0ms

Filtered

115 candidates to 86 candidates (74.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2))
13.1b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
13.1b	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
13.4b	(fma (/ (/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2)) (expm1 (log1p (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
18×	`cbrt-prod`
11×	`associate-/r*`
9×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
3×	`div-exp` `associate-/l*`
2×	`pow1/3`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 99

Calls

4 calls:

5.0ms	(/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2))
0.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms	(fma (/ (/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2)) (expm1 (log1p (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series845.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2))
120.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
113.0ms	(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
414.0ms	(fma (/ (/ y (pow (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) 2)) (expm1 (log1p (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	464	1075
1	1710	954
2	5001	912

prune535.0ms

Filtered

111 candidates to 84 candidates (75.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.4b

bsearch68.0ms

Steps

Iters	Range		Point
2	81461.56837266182	97589.81891588567	95573.78759798268
6	-1398402063.149054	-145619909.40767458	-196225401.49587274

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

end0.0ms

sample531.0ms

Algorithm

intervals

Results

347.0ms

8000×

body

valid