Details

sample190.0ms

Algorithm

intervals

Results

94.0ms	859×	body	80	nan
25.0ms	257×	body	80	valid

simplify7.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	4983
12	4501
11	4083
10	3523
9	2883
8	2214
7	1553
6	1117
5	645
4	320
3	122
2	51
1	21
0	10

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (fma (log y) x (log t)) z) y)
0.0b	(- (fma (log y) x (log t)) z)
0.2b	(fma (log y) x (log t))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
14×	`associate--l+`
10×	`add-log-exp`
8×	`fma-neg` `distribute-lft-out--`
6×	`difference-of-squares`
4×	`diff-log`
3×	`expm1-log1p-u` `pow1` `sub-neg` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate--l-`

Counts

3 → 93

Calls

3 calls:

138.0ms	(- (- (fma (log y) x (log t)) z) y)
26.0ms	(- (fma (log y) x (log t)) z)
3.0ms	(fma (log y) x (log t))

series491.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(- (- (fma (log y) x (log t)) z) y)
197.0ms	(- (fma (log y) x (log t)) z)
164.0ms	(fma (log y) x (log t))

simplify5.7s

Counts

102 → 102

Iterations

Iter	Nodes
done	5010
3	3213
2	967
1	373
0	159

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize212.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
0.5b	(cbrt (fma (log y) x (log t)))
0.5b	(cbrt (fma (log y) x (log t)))
0.5b	(cbrt (fma (log y) x (log t)))

rewrite52.0ms

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:

33.0ms	(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
5.0ms	(cbrt (fma (log y) x (log t)))
5.0ms	(cbrt (fma (log y) x (log t)))
5.0ms	(cbrt (fma (log y) x (log t)))

series2.2s

Counts

4 → 12

Calls

4 calls:

878.0ms	(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
474.0ms	(cbrt (fma (log y) x (log t)))
416.0ms	(cbrt (fma (log y) x (log t)))
428.0ms	(cbrt (fma (log y) x (log t)))

simplify9.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5009
2	3647
1	824
0	250

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize214.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) x (log t)))
0.5b	(cbrt (fma (log y) x (log t)))
0.5b	(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
0.6b	(cbrt (cbrt (fma (log y) x (log t))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (fma (log y) x (log t)))
2.0ms	(cbrt (fma (log y) x (log t)))
17.0ms	(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
6.0ms	(cbrt (cbrt (fma (log y) x (log t))))

series2.1s

Counts

4 → 12

Calls

4 calls:

379.0ms	(cbrt (fma (log y) x (log t)))
443.0ms	(cbrt (fma (log y) x (log t)))
879.0ms	(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
390.0ms	(cbrt (cbrt (fma (log y) x (log t))))

simplify9.5s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	4409
1	943
0	296

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize406.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) x (log t)))
0.5b	(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
0.5b	(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
0.6b	(cbrt (cbrt (fma (log y) x (log t))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
7×	`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 → 55

Calls

4 calls:

4.0ms	(cbrt (fma (log y) x (log t)))
13.0ms	(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
12.0ms	(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
4.0ms	(cbrt (cbrt (fma (log y) x (log t))))

series2.9s

Counts

4 → 12

Calls

4 calls:

456.0ms	(cbrt (fma (log y) x (log t)))
1.0s	(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
952.0ms	(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
436.0ms	(cbrt (cbrt (fma (log y) x (log t))))

simplify10.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	4409
1	943
0	296

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.0s	23817×	body	80	nan
877.0ms	8038×	body	80	valid
4.0ms	2×	body	1280	valid
1.0ms	1×	body	640	valid