Details

sample76.0ms

Algorithm

intervals

Results

21.0ms	257×	body	80	valid
17.0ms	255×	body	80	nan

simplify927.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1080
3	208
2	63
1	21
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

6.0ms	(- y (fma (+ 0.5 y) (log y) z))
0.0ms	(fma (+ 0.5 y) (log y) z)

series115.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- y (fma (+ 0.5 y) (log y) z))
48.0ms	(fma (+ 0.5 y) (log y) z)

simplify1.0s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
2	1012
1	225
0	97

prune296.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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` `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:

13.0ms	(* (cbrt (fma (log y) (+ 0.5 y) z)) (cbrt (fma (log y) (+ 0.5 y) z)))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) z))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) z))
1.0ms	(cbrt (fma (log y) (+ 0.5 y) z))

series2.3s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (fma (log y) (+ 0.5 y) z)) (cbrt (fma (log y) (+ 0.5 y) z)))
419.0ms	(cbrt (fma (log y) (+ 0.5 y) z))
388.0ms	(cbrt (fma (log y) (+ 0.5 y) z))
334.0ms	(cbrt (fma (log y) (+ 0.5 y) z))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	3379
1	635
0	207

prune859.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

31.0ms	(* (cbrt (- y (fma (log y) (+ 0.5 y) z))) (cbrt (- y (fma (log y) (+ 0.5 y) z))))
5.0ms	(cbrt (- y (fma (log y) (+ 0.5 y) z)))
6.0ms	(cbrt (- y (fma (log y) (+ 0.5 y) z)))
7.0ms	(cbrt (- y (fma (log y) (+ 0.5 y) z)))

series5.5s

Counts

4 → 12

Calls

4 calls:

3.8s	(* (cbrt (- y (fma (log y) (+ 0.5 y) z))) (cbrt (- y (fma (log y) (+ 0.5 y) z))))
577.0ms	(cbrt (- y (fma (log y) (+ 0.5 y) z)))
566.0ms	(cbrt (- y (fma (log y) (+ 0.5 y) z)))
592.0ms	(cbrt (- y (fma (log y) (+ 0.5 y) z)))

simplify636.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
1	1091
0	335

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series1.4s

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt (fma (log y) (+ 0.5 y) z))
327.0ms	(cbrt (fma (log y) (+ y 0.5) z))
400.0ms	(cbrt (fma (log y) (+ y 0.5) z))
358.0ms	(cbrt (fma (log y) (+ y 0.5) z))

simplify496.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1034
1	256
0	104

prune680.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes275.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	8038×	body	80	valid
486.0ms	7928×	body	80	nan
0.0ms	2×	body	160	valid