Details

sample49.0ms

Algorithm

intervals

Results

25.0ms

284×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	30	37
1	62	30
2	131	30
3	286	29
4	744	29
5	2057	29
6	4692	29
done	5000	29

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma z 3.13060547623 11.1667541262) z t)
0.0b	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
2.6b	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
26.5b	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite5.0ms

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 (fma z 3.13060547623 11.1667541262) z t)
0.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
2.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
45.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
148.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
894.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	144	1442
1	272	1423
2	639	1262
3	1695	1252
done	5001	1249

prune471.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.3b	(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
2.6b	(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
26.5b	(fma (* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
2.0ms	(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
8.0ms	(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
0.0ms	(fma (* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
88.0ms	(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
138.0ms	(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
847.0ms	(fma (* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: 3 (494.0ms)

Iter	Nodes	Cost
0	177	2202
1	381	2056
2	879	1782
3	2013	1770
done	5000	1770

prune513.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

2.6b	(* y (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))))
8.9b	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
8.9b	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
26.5b	(fma (* y (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
33×	`prod-exp`
22×	`add-cbrt-cube`
16×	`div-exp`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`cbrt-unprod`
8×	`rec-exp` `1-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
5×	`associate-*r/`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `associate-r` `associate-l/` `un-div-inv` `-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

42.0ms	(* y (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))))
1.0ms	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms	(fma (* y (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

138.0ms	(* y (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))))
125.0ms	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
117.0ms	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
842.0ms	(fma (* y (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.9s

Counts

95 → 95

Iterations

Useful iterations: 3 (692.0ms)

Iter	Nodes	Cost
0	180	3131
1	436	2617
2	1004	1665
3	2805	1554
done	5000	1554

prune482.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

16.4b	(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
16.4b	(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
16.4b	(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
26.5b	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (* (* (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) z a) z b) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
1.0ms	(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
1.0ms	(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
0.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (* (* (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) z a) z b) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
232.0ms	(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
235.0ms	(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
886.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (* (* (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) z a) z b) x)

simplify1.7s

Counts

61 → 61

Iterations

Useful iterations: 4 (723.0ms)

Iter	Nodes	Cost
0	92	1484
1	184	1457
2	407	1135
3	1069	980
4	3676	948
done	5000	948

prune424.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes850.0ms

Accuracy

96.6% (0.9b remaining)

Error of 1.3b against oracle of 0.4b and baseline of 28.3b

bsearch251.0ms

Steps

Iters	Range		Point
5	2345005.3551885807	5128389.239951506	5056003.575426906
9	-3.432654368437861e+40	-1.2400599024953455e+35	-1.9368894499979585e+37

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	36	78
1	41	68
done	41	68

end0.0ms

sample979.0ms

Algorithm

intervals

Results

655.0ms

8887×

body

valid