Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify83.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

3.1b

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

12.9b

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

rewrite7.0ms

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:

0.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

5.0ms

(/ 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)

series237.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

62.0ms

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

144.0ms

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

simplify99.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	232	361
1	733	322
2	3221	319
3	5002	317

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.7b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
2.8b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
12.9b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite22.0ms

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:

0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
11.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
6.0ms	(/ (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)

series210.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
50.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
41.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
93.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	475	1087
1	1998	960
2	5002	880

prune392.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
0.0b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
2.8b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
17.1b	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

rewrite67.0ms

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-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

45.0ms	(+ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
9.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

series250.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
26.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
41.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
82.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	511	1353
1	1893	1274
2	5001	1271

prune696.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.6b	(/ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) y))
12.0b	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
12.0b	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
12.0b	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1330×	`times-frac`
621×	`add-sqr-sqrt`
619×	`add-cube-cbrt` `*-un-lft-identity`
432×	`sqrt-prod`
48×	`div-inv`
28×	`associate-/r*`
25×	`associate-/l*`
18×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/r/` `associate-/l/`

Counts

4 → 621

Calls

4 calls:

33.0ms	(/ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) y))
2.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
2.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
7.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))) (/ (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)) y))
50.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
57.0ms	(sqrt (fma (+ z 6.012459259764103) z 3.350343815022304))
127.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (sqrt (fma (+ z 6.012459259764103) z 3.350343815022304)))

simplify177.0ms

Algorithm

egg-herbie

Counts

633 → 633

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2463	14506
1	5001	13898

prune2.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

99.6% (0.1b remaining)

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

bsearch114.0ms

Steps

Iters	Range		Point
10	0.43775957865898985	3845520655822.575	447984676.59711856
6	-9.614648558754493e+24	-1.7072527541046639e+24	-1.7315829183610172e+24

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	10
1	30	10

end0.0ms

sample552.0ms

Algorithm

intervals

Results

314.0ms

8000×

body

valid