Details

sample83.0ms

Algorithm

intervals

Results

42.0ms

283×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	30	37
1	62	30
2	132	30
3	376	29
4	1053	29
5	3174	29
done	5001	29

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
0.1b	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
2.0b	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
27.2b	(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)

rewrite7.0ms

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 (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
0.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
5.0ms	(/ 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)

series1.6s

Counts

4 → 12

Calls

4 calls:

146.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
70.0ms	(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
210.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.1s	(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)

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	147	1526
1	280	1505
2	662	1343
3	1753	1331
done	5001	1316

prune692.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize81.0ms

Local error

Found 4 expressions with local error:

3.7b	(/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
7.7b	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
7.7b	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
27.2b	(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ y (sqrt (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)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 81

Calls

4 calls:

13.0ms	(/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
3.0ms	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
4.0ms	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms	(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ y (sqrt (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)

series1.2s

Counts

4 → 12

Calls

4 calls:

256.0ms	(/ y (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
135.0ms	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
144.0ms	(sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
697.0ms	(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ y (sqrt (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)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	159	2394
1	317	2226
2	782	2039
3	2277	1852
done	5000	1848

prune804.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize84.0ms

Local error

Found 4 expressions with local error:

9.1b	(sqrt (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))
27.2b	(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ (/ y (fabs (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (sqrt (cbrt (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)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`rem-sqrt-square` `sqrt-pow1`
1×	`pow1/2` `fma-udef`

Counts

4 → 56

Calls

4 calls:

5.0ms	(sqrt (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
2.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
2.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms	(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ (/ y (fabs (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (sqrt (cbrt (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)

series3.8s

Counts

4 → 12

Calls

4 calls:

205.0ms	(sqrt (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
243.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
199.0ms	(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
3.2s	(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ (/ y (fabs (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (sqrt (cbrt (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)

simplify2.2s

Counts

68 → 68

Iterations

Useful iterations: 3 (778.0ms)

Iter	Nodes	Cost
0	153	2081
1	329	2001
2	909	1742
3	3012	1690
done	5001	1690

prune785.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize51.0ms

Local error

Found 4 expressions with local error:

17.3b	(cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))
17.3b	(cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))
17.3b	(cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))
27.2b	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (* (* (cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)) (cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))) (cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))) x)

rewrite15.0ms

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:

12.0ms	(cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))
1.0ms	(cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))
1.0ms	(cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))
0.0ms	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (* (* (cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)) (cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))) (cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))) x)

series2.0s

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))
297.0ms	(cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))
330.0ms	(cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))
1.1s	(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (* (* (cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)) (cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))) (cbrt (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b))) x)

simplify2.4s

Counts

61 → 61

Iterations

Useful iterations: 4 (747.0ms)

Iter	Nodes	Cost
0	86	1928
1	167	1910
2	353	1393
3	894	1238
4	2891	1206
done	5000	1206

prune543.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.5b

regimes1.1s

Accuracy

96.5% (1.0b remaining)

Error of 1.3b against oracle of 0.3b and baseline of 28.5b

bsearch364.0ms

Steps

Iters	Range		Point
5	1.9680762236544087e+23	5.1954013525007336e+23	2.0684253671128884e+23
10	-8.96165649891565e+43	-3.748582889077617e+29	-3.3294720845542475e+33

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	34	58
1	41	49
done	41	49

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.0s

8844×

body

valid