Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	valid
6.0ms	286×	body	80	nan

simplify172.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	42	7
4	66	7
5	110	7
6	144	7
7	165	7
8	201	7
9	242	7
done	242	7

prune4.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify2.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (103.0ms)

Iter	Nodes	Cost
0	26	126
1	53	123
2	118	109
3	306	109
4	1035	106
5	4936	106
done	5000	106

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.3b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.3b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

4.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
6.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

series850.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
168.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
162.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
354.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (390.0ms)

Iter	Nodes	Cost
0	122	1832
1	284	1697
2	861	1540
3	3104	1332
done	5000	1332

prune248.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.3b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.3b	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))
0.4b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod`
52×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
15×	`swap-sqr` `associate-r` `associate-l`
14×	`pow1/3`
13×	`unswap-sqr`
8×	`add-exp-log`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
16.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))
10.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

series693.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
162.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
176.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))
187.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify601.0ms

Counts

136 → 136

Iterations

Useful iterations: done (597.0ms)

Iter	Nodes	Cost
0	192	3139
1	437	2901
2	1353	2675
done	5000	2299

prune419.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma y (sqrt x) (- 1.0 x)))
0.4b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
0.4b	(cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 6))
0.9b	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 6)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
29×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down`
12×	`pow1`
9×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
6.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
3.0ms	(cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 6))
3.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 6)

series778.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
182.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
183.0ms	(cbrt (pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 6))
239.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) 6)

simplify725.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	232	2491
1	539	2323
2	1681	1830
done	5000	1830

prune388.0ms

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	7
done	6	7

end0.0ms

sample629.0ms

Algorithm

intervals

Results

191.0ms	8534×	body	80	valid
169.0ms	8496×	body	80	nan
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid