Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify78.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

4.4b

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

16.0b

(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

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)

2.0ms

(/ 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)

series215.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

61.0ms

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

127.0ms

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

simplify112.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (101.0ms)

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

prune210.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.9b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
3.8b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
16.0b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite13.0ms

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)
5.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
2.0ms	(/ (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)

series195.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
45.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
39.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
87.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (43.0ms)

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

prune418.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)
0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
3.8b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
19.3b	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

rewrite49.0ms

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:

32.0ms	(+ (/ (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)
2.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
5.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

series229.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
25.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
38.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
75.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

simplify81.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (47.0ms)

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

prune648.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

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)
0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.1b	(* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
15.4b	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+` `fma-udef`

Counts

4 → 87

Calls

4 calls:

8.0ms	(+ (* (/ (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)
18.0ms	(* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
4.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series281.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y) x)
29.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
74.0ms	(* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
89.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	376	804
1	1297	725
2	5002	721

prune289.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

97.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 16.3b

bsearch101.0ms

Steps

Iters	Range		Point
5	3.4535201554271017e-08	1.0911684528208986e-07	1.075597970485127e-07
9	-374005510135422.8	-1827977.1926269082	-1013188501759.4564

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	10
1	31	10

end0.0ms

sample494.0ms

Algorithm

intervals

Results

321.0ms

8000×

body

valid