Details

sample178.0ms

Algorithm

intervals

Results

44.0ms	48×	body	1280	valid
35.0ms	56×	body	640	valid
33.0ms	36×	body	10240	exit
14.0ms	115×	body	80	valid
9.0ms	23×	body	320	valid
5.0ms	69×	body	80	nan
3.0ms	14×	body	160	valid
3.0ms	7×	body	640	nan
2.0ms	2×	body	2560	valid
1.0ms	3×	body	1280	nan
1.0ms	4×	body	320	nan
0.0ms	1×	body	160	nan

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	345
1	20	345
2	35	320
3	53	320
4	84	320
5	224	320
6	921	320
7	4914	320
done	5000	320

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (log (fma y (exp z) (- 1.0 y))) t)
2.4b	(log (fma y (exp z) (- 1.0 y)))
2.9b	(fma y (exp z) (- 1.0 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`pow1`
6×	`add-exp-log`
5×	`add-cbrt-cube` `log-pow`
4×	`associate-/l*`
3×	`expm1-log1p-u` `log-prod` `associate-/r*` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `fma-udef` `div-inv`

Counts

3 → 57

Calls

3 calls:

6.0ms	(/ (log (fma y (exp z) (- 1.0 y))) t)
1.0ms	(log (fma y (exp z) (- 1.0 y)))
0.0ms	(fma y (exp z) (- 1.0 y))

series422.0ms

Counts

3 → 9

Calls

3 calls:

251.0ms	(/ (log (fma y (exp z) (- 1.0 y))) t)
120.0ms	(log (fma y (exp z) (- 1.0 y)))
50.0ms	(fma y (exp z) (- 1.0 y))

simplify1.4s

Counts

66 → 66

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	149	27599
1	338	24729
2	1277	24167
done	5000	24062

prune578.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (fma y (fma z 1.0 (* 0.5 (* z z))) (log 1.0)) t))
0.0b	(* 0.5 (* z z))
2.8b	(fma y (fma z 1.0 (* 0.5 (* z z))) (log 1.0))
4.2b	(/ (fma y (fma z 1.0 (* 0.5 (* z z))) (log 1.0)) t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`associate-/r` `fma-neg` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l`
2×	`difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `associate-r` `*-commutative` `fma-udef` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

11.0ms	(- x (/ (fma y (fma z 1.0 (* 0.5 (* z z))) (log 1.0)) t))
13.0ms	(* 0.5 (* z z))
0.0ms	(fma y (fma z 1.0 (* 0.5 (* z z))) (log 1.0))
4.0ms	(/ (fma y (fma z 1.0 (* 0.5 (* z z))) (log 1.0)) t)

series530.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(- x (/ (fma y (fma z 1.0 (* 0.5 (* z z))) (log 1.0)) t))
35.0ms	(* 0.5 (* z z))
90.0ms	(fma y (fma z 1.0 (* 0.5 (* z z))) (log 1.0))
208.0ms	(/ (fma y (fma z 1.0 (* 0.5 (* z z))) (log 1.0)) t)

simplify3.2s

Counts

131 → 131

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	232	80422
1	570	75144
2	2475	69276
done	5000	59359

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.5b

localize25.0ms

Local error

Found 1 expressions with local error:

3.5b	(/ (* z y) t)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

13.0ms

(/ (* z y) t)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ (* z y) t)

simplify776.0ms

Counts

26 → 26

Iterations

Useful iterations: done (774.0ms)

Iter	Nodes	Cost
0	50	3969
1	120	3677
2	627	3557
done	5000	3437

prune201.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 1 expressions with local error:

3.6b	(* (* z y) (/ 1 t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`expm1-log1p-u` `associate-l` `associate-r/` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

19.0ms

(* (* z y) (/ 1 t))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (* z y) (/ 1 t))

simplify1.6s

Counts

43 → 43

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	85	9072
1	251	7088
2	1657	5780
done	5000	5378

prune174.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.9b

regimes875.0ms

Accuracy

66.4% (4.4b remaining)

Error of 8.1b against oracle of 3.7b and baseline of 16.8b

bsearch3.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	25	1107
1	28	896
done	28	896

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.0s	1620×	body	10240	exit
1.3s	1456×	body	1280	valid
745.0ms	1534×	body	640	valid
549.0ms	2554×	body	80	nan
442.0ms	3534×	body	80	valid
303.0ms	941×	body	320	valid
182.0ms	85×	body	2560	valid
132.0ms	276×	body	640	nan
84.0ms	476×	body	160	valid
48.0ms	103×	body	1280	nan
37.0ms	168×	body	320	nan
15.0ms	110×	body	160	nan