Details

sample97.0ms

Algorithm

intervals

Results

59.0ms

288×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1293
3	386
2	132
1	62
0	30

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
0.1b	(fma (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)
26.4b	(/ (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))

rewrite10.0ms

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` `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 → 59

Calls

4 calls:

0.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
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)
7.0ms	(/ (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:

53.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
32.0ms	(fma (fma 3.13060547623 z 11.1667541262) z t)
872.0ms	(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)
579.0ms	(/ (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))

simplify2.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	2900
2	726
1	252
0	135

prune778.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
0.1b	(fma z (fma 3.13060547623 z 11.1667541262) t)
0.1b	(* y (/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
26.4b	(/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

rewrite27.0ms

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` `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 → 83

Calls

4 calls:

0.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
0.0ms	(fma z (fma 3.13060547623 z 11.1667541262) t)
19.0ms	(* y (/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
4.0ms	(/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

series784.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
33.0ms	(fma z (fma 3.13060547623 z 11.1667541262) t)
436.0ms	(* y (/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771)))
273.0ms	(/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721) 0.607771387771))

simplify735.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1266
1	357
0	162

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
0.1b	(fma z (fma 3.13060547623 z 11.1667541262) t)
0.1b	(* y (/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (* 1 (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)) 0.607771387771)))
26.4b	(/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (* 1 (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)) 0.607771387771))

rewrite16.0ms

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` `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 → 83

Calls

4 calls:

0.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
0.0ms	(fma z (fma 3.13060547623 z 11.1667541262) t)
10.0ms	(* y (/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (* 1 (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)) 0.607771387771)))
4.0ms	(/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (* 1 (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)) 0.607771387771))

series951.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)
43.0ms	(fma z (fma 3.13060547623 z 11.1667541262) t)
543.0ms	(* y (/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (* 1 (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)) 0.607771387771)))
311.0ms	(/ (fma (fma (fma z (fma 3.13060547623 z 11.1667541262) t) z a) z b) (fma z (* 1 (fma z (fma z (+ z 15.234687407) 31.4690115749) 11.9400905721)) 0.607771387771))

simplify657.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1288
1	359
0	163

prune963.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z)))
0.0b	(- (/ (/ t z) z) (/ 36.527041698806414 z))
0.1b	(/ (/ t z) z)
2.9b	(fma y (+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z))) x)

rewrite429.0ms

Algorithm

rewrite-expression-head

Rules

2646×	`times-frac`
1617×	`add-sqr-sqrt`
1609×	`*-un-lft-identity`
1596×	`add-cube-cbrt`
1118×	`prod-diff`
561×	`associate-+r+`
201×	`div-inv`
43×	`fma-neg`
13×	`associate-/l*`
11×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
6×	`difference-of-squares`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `fma-def` `div-exp`
2×	`sum-log` `sub-neg` `diff-log` `distribute-lft-out`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `flip3--` `distribute-rgt-out--` `frac-sub` `flip-+` `fma-udef` `flip--` `sub-div` `associate-/l/`

Counts

4 → 1292

Calls

4 calls:

178.0ms	(+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z)))
82.0ms	(- (/ (/ t z) z) (/ 36.527041698806414 z))
8.0ms	(/ (/ t z) z)
0.0ms	(fma y (+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z))) x)

series242.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z)))
66.0ms	(- (/ (/ t z) z) (/ 36.527041698806414 z))
29.0ms	(/ (/ t z) z)
111.0ms	(fma y (+ 3.13060547623 (- (/ (/ t z) z) (/ 36.527041698806414 z))) x)

simplify1.6s

Counts

1304 → 1304

Iterations

Iter	Nodes
done	5000
1	3013
0	1422

prune8.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

97.3% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 28.8b

bsearch325.0ms

Steps

Iters	Range		Point
9	1.6799158367203733e+36	2.166677280609876e+43	5.484371003442913e+38
7	-7.963569197785666e+71	-3.759409059654081e+70	-3.80730209029403e+70

simplify8.0ms

Iterations

Iter	Nodes
done	49
2	49
1	48
0	38

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

8906×

body

valid