Details

sample94.0ms

Algorithm

intervals

Results

54.0ms

287×

body

valid

simplify2.7s

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: 26.1b

localize81.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
0.1b	(fma (fma 3.13060547623 z 11.1667541262) z t)
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)
25.9b	(/ (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))

rewrite11.0ms

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 z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
0.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
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)
9.0ms	(/ (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))

series1.6s

Counts

4 → 12

Calls

4 calls:

69.0ms	(fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
51.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
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)
392.0ms	(/ (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))

simplify1.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	2069
2	637
1	256
0	136

prune874.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
0.1b	(fma (fma 3.13060547623 z 11.1667541262) z t)
0.2b	(* 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)))
25.9b	(/ (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))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
1.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
18.0ms	(* 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)))
9.0ms	(/ (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))

series1.0s

Counts

4 → 12

Calls

4 calls:

73.0ms	(fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)
44.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
576.0ms	(* 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)))
338.0ms	(/ (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))

simplify3.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
3	4264
2	1047
1	357
0	163

prune906.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 3.13060547623 z 11.1667541262) z t)
0.1b	(/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
0.2b	(* 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))))
26.0b	(* (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)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
9.0ms	(/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
39.0ms	(* 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))))
21.0ms	(* (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)))

series1.3s

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
122.0ms	(/ 1 (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))
710.0ms	(* 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))))
450.0ms	(* (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)))

simplify3.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
3	4964
2	1271
1	430
0	195

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma (/ y z) (- (/ t z) 36.527041698806414) (* y 3.13060547623)) x)
0.0b	(- (/ t z) 36.527041698806414)
0.8b	(fma (/ y z) (- (/ t z) 36.527041698806414) (* y 3.13060547623))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
13×	`fma-neg`
7×	`add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`fma-udef` `difference-of-squares`
1×	`+-commutative` `associate-+l+` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 100

Calls

3 calls:

8.0ms	(+ (fma (/ y z) (- (/ t z) 36.527041698806414) (* y 3.13060547623)) x)
23.0ms	(- (/ t z) 36.527041698806414)
0.0ms	(fma (/ y z) (- (/ t z) 36.527041698806414) (* y 3.13060547623))

series247.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ (fma (/ y z) (- (/ t z) 36.527041698806414) (* y 3.13060547623)) x)
39.0ms	(- (/ t z) 36.527041698806414)
96.0ms	(fma (/ y z) (- (/ t z) 36.527041698806414) (* y 3.13060547623))

simplify2.9s

Counts

109 → 109

Iterations

Iter	Nodes
done	5006
3	2781
2	802
1	355
0	163

prune552.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

regimes1.2s

Accuracy

97.5% (0.7b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 26.7b

bsearch545.0ms

Steps

Iters	Range		Point
9	2.705484573839852e+50	4.62892497053394e+59	4.025561367592441e+50
10	-5.711287640901297e+35	-5.927106359411468e+25	-5.657439373470419e+35

simplify11.0ms

Iterations

Iter	Nodes
done	50
1	50
0	39

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.9s

8896×

body

valid