Details

sample62.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
16.0ms	234×	body	80	nan

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4166
5	2057
4	627
3	203
2	63
1	21
0	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (fma (log y) (+ 0.5 y) (- z y)))
0.1b	(fma (log y) (+ 0.5 y) (- z y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

10.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(fma (log y) (+ 0.5 y) (- z y))

series125.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
57.0ms	(fma (log y) (+ 0.5 y) (- z y))

simplify2.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5011
3	2510
2	637
1	239
0	103

prune219.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) (+ 0.5 y) (- z y))) (cbrt (fma (log y) (+ 0.5 y) (- z y))))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

17.0ms	(* (cbrt (fma (log y) (+ 0.5 y) (- z y))) (cbrt (fma (log y) (+ 0.5 y) (- z y))))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))

series4.2s

Counts

4 → 12

Calls

4 calls:

3.0s	(* (cbrt (fma (log y) (+ 0.5 y) (- z y))) (cbrt (fma (log y) (+ 0.5 y) (- z y))))
429.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
378.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
387.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))

simplify6.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	4065
1	929
0	272

prune611.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.5b	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
0.6b	(cbrt (cbrt (fma (log y) (+ 0.5 y) (- z y))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
2.0ms	(cbrt (cbrt (fma (log y) (+ 0.5 y) (- z y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

335.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
348.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
386.0ms	(cbrt (fma (log y) (+ 0.5 y) (- z y)))
394.0ms	(cbrt (cbrt (fma (log y) (+ 0.5 y) (- z y))))

simplify2.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5004
2	1892
1	477
0	166

prune517.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (log y) (+ y 0.5))
0.1b	(- (+ y x) (* (log y) (+ y 0.5)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-*r/` `add-cube-cbrt`
5×	`pow1` `flip3-+` `flip-+`
4×	`add-cbrt-cube` `fma-neg` `associate-r` `associate-l` `prod-diff` `add-exp-log` `frac-sub`
3×	`distribute-lft-out`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `diff-log` `insert-posit16` `log1p-expm1-u` `associate--r+`
1×	`sum-log` `sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

2 → 58

Calls

2 calls:

32.0ms	(* (log y) (+ y 0.5))
62.0ms	(- (+ y x) (* (log y) (+ y 0.5)))

series372.0ms

Counts

2 → 6

Calls

2 calls:

312.0ms	(* (log y) (+ y 0.5))
59.0ms	(- (+ y x) (* (log y) (+ y 0.5)))

simplify2.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	2032
1	455
0	146

prune239.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

628.0ms	8038×	body	80	valid
399.0ms	8043×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid