Details

sample47.0ms

Algorithm

intervals

Results

24.0ms

279×

body

valid

simplify3.0s

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b	(fma (fma z 3.13060547623 11.1667541262) z t)
2.4b	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
25.5b	(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 15.234687407) z 31.4690115749) z 11.9400905721)
0.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
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:

45.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
38.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
149.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
898.0ms	(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)

simplify903.0ms

Counts

71 → 71

Iterations

Useful iterations: done (899.0ms)

Iter	Nodes	Cost
0	144	1442
1	272	1423
2	639	1262
3	1695	1252
done	5000	1249

prune484.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 3.13060547623 11.1667541262) z t)
0.2b	(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
2.4b	(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
25.5b	(fma (/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
6.0ms	(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
2.0ms	(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
0.0ms	(fma (/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series774.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
114.0ms	(/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))
111.0ms	(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
512.0ms	(fma (/ 1 (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify1.9s

Counts

139 → 139

Iterations

Useful iterations: 3 (864.0ms)

Iter	Nodes	Cost
0	238	3565
1	503	3387
2	1148	2978
3	2859	2956
done	5000	2956

prune661.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b	(fma (fma z 3.13060547623 11.1667541262) z t)
0.1b	(* (/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y)
25.4b	(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

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

series722.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
39.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
344.0ms	(* (/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y)
298.0ms	(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

simplify2.0s

Counts

95 → 95

Iterations

Useful iterations: 3 (984.0ms)

Iter	Nodes	Cost
0	170	2769
1	374	2740
2	1043	2417
3	3227	2403
done	5000	2403

prune538.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

15.8b	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
15.8b	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
15.8b	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
25.5b	(fma (/ 1 (* (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y))) (fma (fma (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:

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

series969.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
162.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
171.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
464.0ms	(fma (/ 1 (* (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify896.0ms

Counts

61 → 61

Iterations

Useful iterations: 3 (193.0ms)

Iter	Nodes	Cost
0	92	1808
1	188	1775
2	490	1268
3	1594	1202
done	5001	1202

prune422.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes637.0ms

Accuracy

97.1% (0.8b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 28.1b

bsearch213.0ms

Steps

Iters	Range		Point
6	5.619679650686545e+73	6.93108202513983e+74	5.742012253919877e+73
8	-3.549951154028029e+48	-8.071674369691596e+45	-1.6035881345933143e+48

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	34	60
1	40	50
done	40	50

end0.0ms

sample1.1s

Algorithm

intervals

Results

823.0ms

8875×

body

valid