Details

sample46.0ms

Algorithm

intervals

Results

24.0ms

280×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
5	3129
4	1167
3	380
2	130
1	62
0	30

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.6b

localize81.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 3.13060547623 z 11.1667541262) z t)
0.1b	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
0.1b	(fma y (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)
29.5b	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 63

Calls

4 calls:

0.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
0.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
1.0ms	(fma y (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)
21.0ms	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

series1.5s

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
63.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
1.1s	(fma y (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) x)
363.0ms	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

simplify2.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	2041
2	639
1	256
0	139

prune874.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ t z) z)
2.6b	(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `fma-udef` `associate-/l/`

Counts

2 → 84

Calls

2 calls:

15.0ms	(/ (/ t z) z)
0.0ms	(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

series89.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (/ t z) z)
63.0ms	(fma y (+ 3.13060547623 (/ (/ t z) z)) x)

simplify3.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5098
3	4405
2	896
1	361
0	164

prune573.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize88.0ms

Local error

Found 4 expressions with local error:

9.1b	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
9.1b	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
19.4b	(* (/ 1 (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))))
25.6b	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
28×	`add-exp-log`
22×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`pow1` `prod-exp`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 160

Calls

4 calls:

3.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
3.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
59.0ms	(* (/ 1 (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))))
7.0ms	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

series1.3s

Counts

4 → 12

Calls

4 calls:

143.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
150.0ms	(sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
392.0ms	(* (/ 1 (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))))
566.0ms	(/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (sqrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

simplify2.9s

Counts

172 → 172

Iterations

Iter	Nodes
done	5001
2	1837
1	587
0	227

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize78.0ms

Local error

Found 4 expressions with local error:

17.5b	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
17.5b	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
17.5b	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
24.1b	(* (/ 1 (* (cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) (cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
43×	`add-sqr-sqrt`
33×	`times-frac`
25×	`*-un-lft-identity`
22×	`associate-r` `add-cube-cbrt`
21×	`cbrt-prod`
20×	`prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv` `associate-l`
6×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 115

Calls

4 calls:

2.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
2.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
2.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
127.0ms	(* (/ 1 (* (cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) (cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))))

series1.1s

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
231.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
265.0ms	(cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
415.0ms	(* (/ 1 (* (cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)) (cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))) (/ (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (cbrt (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))))

simplify2.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5007
2	2229
1	604
0	214

prune1.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

regimes1.2s

Accuracy

96.4% (0.9b remaining)

Error of 1.3b against oracle of 0.4b and baseline of 26.5b

bsearch824.0ms

Steps

Iters	Range		Point
9	22024.647857286567	2590629949647.022	2533004793734.77
8	-2.5854171655697825e+36	-4.020641651017867e+32	-1.0275167136366416e+34

simplify7.0ms

Iterations

Iter	Nodes
done	44
1	44
0	36

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.1s

8932×

body

valid