Details

sample48.0ms

Algorithm

intervals

Results

11.0ms	289×	body	80	nan
11.0ms	275×	body	80	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	44	7
4	72	7
5	162	7
6	506	7
7	1673	7
done	5000	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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:

1.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify1.8s

Counts

13 → 13

Iterations

Useful iterations: 4 (407.0ms)

Iter	Nodes	Cost
0	26	126
1	53	123
2	119	109
3	339	109
4	1760	106
done	5000	106

prune52.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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

rewrite16.0ms

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:

1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
1.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
12.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

series934.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
215.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
239.0ms	(cbrt (fma y (sqrt x) (- 1.0 x)))
238.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	122	1832
1	301	1693
2	994	1540
done	5001	1392

prune463.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

88×	`cbrt-prod`
54×	`add-sqr-sqrt`
28×	`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 → 130

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
2.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
20.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
17.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
255.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
270.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
255.0ms	(* (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))))

simplify964.0ms

Counts

142 → 142

Iterations

Useful iterations: done (956.0ms)

Iter	Nodes	Cost
0	192	3297
1	468	3046
2	1634	2829
done	5001	2539

prune777.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
0.3b	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
0.4b	(cbrt (* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x)))))
0.6b	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (+ 3 1))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
15.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
6.0ms	(cbrt (* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x)))))
16.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (+ 3 1))

series1.0s

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt (cbrt (fma y (sqrt x) (- 1.0 x))))
253.0ms	(* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x))))
235.0ms	(cbrt (* (cbrt (fma y (sqrt x) (- 1.0 x))) (cbrt (fma y (sqrt x) (- 1.0 x)))))
266.0ms	(pow (cbrt (cbrt (fma y (sqrt x) (- 1.0 x)))) (+ 3 1))

simplify1.9s

Counts

109 → 109

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	221	2427
1	625	2163
2	2413	1748
done	5000	1722

prune685.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b 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

sample1.3s

Algorithm

intervals

Results

418.0ms	8553×	body	80	valid
369.0ms	8807×	body	80	nan
0.0ms	1×	body	640	valid