Details

sample48.0ms

Algorithm

intervals

Results

25.0ms

278×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.4b

localize51.0ms

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)
27.3b	(/ (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))

rewrite7.0ms

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)
0.0ms	(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)
5.0ms	(/ (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))

series1.4s

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
51.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
926.0ms	(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)
387.0ms	(/ (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))

simplify2.1s

Counts

75 → 75

Iterations

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

prune733.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

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) (/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) x)
0.4b	(/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
27.4b	(* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
0.0ms	(fma y (* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) x)
5.0ms	(/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
15.0ms	(* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

series1.5s

Counts

4 → 12

Calls

4 calls:

52.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
972.0ms	(fma y (* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))) x)
85.0ms	(/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
352.0ms	(* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))

simplify2.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	3519
2	1057
1	383
0	180

prune985.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (fma z (+ z 15.234687407) 31.4690115749))
0.1b	(fma y (* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (+ (* z (fma z (+ z 15.234687407) 31.4690115749)) 11.9400905721) 0.607771387771))) x)
0.4b	(/ 1 (fma z (+ (* z (fma z (+ z 15.234687407) 31.4690115749)) 11.9400905721) 0.607771387771))
27.4b	(* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (+ (* z (fma z (+ z 15.234687407) 31.4690115749)) 11.9400905721) 0.607771387771)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `fma-udef` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 107

Calls

4 calls:

10.0ms	(* z (fma z (+ z 15.234687407) 31.4690115749))
0.0ms	(fma y (* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (+ (* z (fma z (+ z 15.234687407) 31.4690115749)) 11.9400905721) 0.607771387771))) x)
9.0ms	(/ 1 (fma z (+ (* z (fma z (+ z 15.234687407) 31.4690115749)) 11.9400905721) 0.607771387771))
25.0ms	(* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (+ (* z (fma z (+ z 15.234687407) 31.4690115749)) 11.9400905721) 0.607771387771)))

series1.5s

Counts

4 → 12

Calls

4 calls:

57.0ms	(* z (fma z (+ z 15.234687407) 31.4690115749))
1.0s	(fma y (* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (+ (* z (fma z (+ z 15.234687407) 31.4690115749)) 11.9400905721) 0.607771387771))) x)
82.0ms	(/ 1 (fma z (+ (* z (fma z (+ z 15.234687407) 31.4690115749)) 11.9400905721) 0.607771387771))
348.0ms	(* (fma (fma z (fma (fma 3.13060547623 z 11.1667541262) z t) a) z b) (/ 1 (fma z (+ (* z (fma z (+ z 15.234687407) 31.4690115749)) 11.9400905721) 0.607771387771)))

simplify3.2s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
3	4549
2	1258
1	439
0	201

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize78.0ms

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 15.234687407) z 31.4690115749) 11.9400905721)
2.4b	(/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) y)
28.9b	(/ (fma z (fma (fma (fma 3.13060547623 z 11.1667541262) z t) z a) b) (/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

0.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
1.0ms	(fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721)
10.0ms	(/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) y)
30.0ms	(/ (fma z (fma (fma (fma 3.13060547623 z 11.1667541262) z t) z a) b) (/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) y))

series669.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
66.0ms	(fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721)
139.0ms	(/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) y)
428.0ms	(/ (fma z (fma (fma (fma 3.13060547623 z 11.1667541262) z t) z a) b) (/ (fma z (fma z (fma (+ z 15.234687407) z 31.4690115749) 11.9400905721) 0.607771387771) y))

simplify1.9s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	1719
1	573
0	247

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

regimes1.2s

Accuracy

96.9% (0.8b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 26.0b

bsearch363.0ms

Steps

Iters	Range		Point
5	3.4229312746504373e+62	7.060663433926558e+62	3.456748167446755e+62
9	-8.479525172061347e+56	-6.109664793479867e+51	-1.3430881614108444e+53

simplify25.0ms

Iterations

Iter	Nodes
done	44
1	44
0	36

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.1s

8791×

body

valid