Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	18	21
1	38	18
2	71	18
3	140	17
4	262	17
5	433	17
6	642	17
7	772	17
8	955	17
9	1095	17
10	1155	17
11	1156	17
done	1156	17

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

4.2b

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

15.9b

(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))

0.0ms

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

series277.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

76.0ms

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

165.0ms

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

simplify1.1s

Counts

58 → 58

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	122	869
1	233	849
2	555	759
3	1474	754
done	5000	751

prune265.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.5b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
3.8b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
15.9b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite14.0ms

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)
6.0ms	(/ 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)

series247.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
53.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
53.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
109.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.3s

Counts

139 → 139

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	227	2439
1	478	2255
2	1114	2001
3	2952	1909
done	5000	1909

prune433.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize15.0ms

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))

rewrite54.0ms

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:

35.0ms	(+ (/ (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)
6.0ms	(/ (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))

series286.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) x)
31.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
51.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
92.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))

simplify1.1s

Counts

181 → 181

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	229	3228
1	513	3102
2	1540	2917
done	5000	2915

prune766.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

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)
15.9b	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

rewrite18.0ms

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:

4.0ms	(+ (* (/ (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)
8.0ms	(* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
3.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series316.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y) x)
31.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
91.0ms	(* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
80.0ms	(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify2.4s

Counts

99 → 99

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	162	2012
1	377	1934
2	1080	1748
3	3760	1718
done	5001	1718

prune326.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes142.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.5b

bsearch124.0ms

Steps

Iters	Range		Point
6	0.0591185632533196	0.44834868164545755	0.4426814927734349
9	-131863331651.28616	-511708.7274343749	-252705366.09403118

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	25	44
1	31	36
done	31	36

end0.0ms

sample477.0ms

Algorithm

intervals

Results

316.0ms

8000×

body

valid