Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	358×	body	80	nan
5.0ms	273×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	4
1	25	3
2	44	3
3	69	3
4	102	3
5	171	3
6	192	3
7	225	3
8	316	3
9	351	3
10	351	3
done	351	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt x) y (- 1.0 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (sqrt x) y (- 1.0 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma (sqrt x) y (- 1.0 x))

simplify42.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	64	71
1	162	57
2	476	55
3	1755	54
4	5001	54
done	5001	54

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (sqrt x) y (- 1.0 x)))
0.1b	(fma (sqrt x) y (- 1.0 x))
0.1b	(fma (sqrt x) y (- 1.0 x))
0.1b	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (sqrt (fma (sqrt x) y (- 1.0 x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (sqrt x) y (- 1.0 x)))
0.0ms	(fma (sqrt x) y (- 1.0 x))
0.0ms	(fma (sqrt x) y (- 1.0 x))
13.0ms	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (sqrt (fma (sqrt x) y (- 1.0 x))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sqrt (fma (sqrt x) y (- 1.0 x)))
44.0ms	(fma (sqrt x) y (- 1.0 x))
38.0ms	(fma (sqrt x) y (- 1.0 x))
43.0ms	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (sqrt (fma (sqrt x) y (- 1.0 x))))

simplify155.0ms

Counts

98 → 98

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	202	579
1	700	493
2	3972	465
3	5001	462
done	5001	462

prune205.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (sqrt x) y (- 1.0 x))
0.1b	(fma (sqrt x) y (- 1.0 x))
0.1b	(* (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))))
0.1b	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (* (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (sqrt (sqrt (fma (sqrt x) y (- 1.0 x))))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

83×	`sqrt-pow1`
71×	`sqrt-prod`
65×	`pow1`
52×	`add-sqr-sqrt`
43×	`pow1/2`
39×	`pow-prod-up`
18×	`add-cube-cbrt` `*-un-lft-identity`
17×	`swap-sqr`
15×	`associate-l`
12×	`pow-prod-down`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative` `fma-udef`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 145

Calls

4 calls:

0.0ms	(fma (sqrt x) y (- 1.0 x))
0.0ms	(fma (sqrt x) y (- 1.0 x))
20.0ms	(* (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))))
49.0ms	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (* (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (sqrt (sqrt (fma (sqrt x) y (- 1.0 x))))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (sqrt x) y (- 1.0 x))
39.0ms	(fma (sqrt x) y (- 1.0 x))
83.0ms	(* (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))))
47.0ms	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (* (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (sqrt (sqrt (fma (sqrt x) y (- 1.0 x))))))

simplify57.0ms

Counts

157 → 157

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	344	930
1	1183	815
2	5001	785
done	5001	785

prune274.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (sqrt (fma (sqrt x) y (- 1.0 x))))
0.1b	(cbrt (sqrt (fma (sqrt x) y (- 1.0 x))))
0.1b	(* (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))))
0.1b	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (* (sqrt (* (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))))) (* (sqrt (cbrt (sqrt (fma (sqrt x) y (- 1.0 x))))) (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
44×	`add-sqr-sqrt`
35×	`pow1`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1/3`
18×	`sqrt-pow1` `pow-prod-down`
16×	`pow-prod-up`
15×	`add-exp-log` `associate-l`
13×	`add-cbrt-cube`
11×	`swap-sqr`
10×	`associate-r`
9×	`unswap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1/2`
4×	`expm1-log1p-u` `pow-sqr` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `pow-plus`

Counts

4 → 124

Calls

4 calls:

1.0ms	(cbrt (sqrt (fma (sqrt x) y (- 1.0 x))))
2.0ms	(cbrt (sqrt (fma (sqrt x) y (- 1.0 x))))
17.0ms	(* (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))))
189.0ms	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (* (sqrt (* (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))))) (* (sqrt (cbrt (sqrt (fma (sqrt x) y (- 1.0 x))))) (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (sqrt (fma (sqrt x) y (- 1.0 x))))
139.0ms	(cbrt (sqrt (fma (sqrt x) y (- 1.0 x))))
150.0ms	(* (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))))
43.0ms	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (* (sqrt (* (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (sqrt (fma (sqrt x) y (- 1.0 x)))))) (* (sqrt (cbrt (sqrt (fma (sqrt x) y (- 1.0 x))))) (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))))))

simplify71.0ms

Counts

136 → 136

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	506	2215
1	2003	1915
2	5002	1781
done	5002	1781

prune564.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3
done	6	3

end0.0ms

sample683.0ms

Algorithm

intervals

Results

169.0ms	8536×	body	80	valid
160.0ms	8682×	body	80	nan
0.0ms	1×	body	1280	valid