Details

sample71.0ms

Algorithm

intervals

Results

28.0ms	791×	body	80	nan
11.0ms	256×	body	80	valid

simplify569.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (33.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	122	11
4	223	10
5	290	10
6	402	10
7	577	10
8	646	10
9	652	10
done	652	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
7×	`add-log-exp`
4×	`distribute-lft-out`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate--r+` `difference-of-squares`

Counts

2 → 45

Calls

2 calls:

9.0ms	(- (fma (log y) x (log t)) (+ y z))
0.0ms	(fma (log y) x (log t))

series142.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (fma (log y) x (log t)) (+ y z))
88.0ms	(fma (log y) x (log t))

simplify1.7s

Counts

51 → 51

Iterations

Useful iterations: 3 (575.0ms)

Iter	Nodes	Cost
0	100	978
1	217	802
2	666	670
3	3475	553
done	5000	553

prune144.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (cbrt (fma (log y) x (log t))) 3) (+ y z))
0.1b	(fma (log y) x (log t))
0.5b	(cbrt (fma (log y) x (log t)))
0.7b	(pow (cbrt (fma (log y) x (log t))) 3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
72×	`prod-diff`
64×	`add-sqr-sqrt`
53×	`add-cube-cbrt`
41×	`cbrt-prod`
38×	`unpow-prod-down` `cube-prod`
19×	`distribute-lft-out`
18×	`fma-neg`
9×	`add-log-exp`
7×	`sqr-pow`
6×	`cube-mult` `unpow3` `difference-of-squares`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow`
2×	`pow-pow` `pow1/3` `diff-log` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-exp` `sum-log` `flip--` `fma-udef` `associate--r+` `rem-cube-cbrt`

Counts

4 → 169

Calls

4 calls:

28.0ms	(- (pow (cbrt (fma (log y) x (log t))) 3) (+ y z))
0.0ms	(fma (log y) x (log t))
0.0ms	(cbrt (fma (log y) x (log t)))
2.0ms	(pow (cbrt (fma (log y) x (log t))) 3)

series406.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (pow (cbrt (fma (log y) x (log t))) 3) (+ y z))
84.0ms	(fma (log y) x (log t))
152.0ms	(cbrt (fma (log y) x (log t)))
113.0ms	(pow (cbrt (fma (log y) x (log t))) 3)

simplify773.0ms

Counts

181 → 181

Iterations

Useful iterations: done (768.0ms)

Iter	Nodes	Cost
0	244	5196
1	595	3160
2	2199	2618
done	5001	2546

prune558.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (cbrt (fma (log y) x (log t))) 2) (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	(pow (cbrt (fma (log y) x (log t))) 2)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`unpow-prod-down`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-l`
10×	`add-exp-log` `unswap-sqr`
6×	`pow1` `associate-r`
5×	`add-cbrt-cube` `unpow2`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3` `prod-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp`
1×	`pow-plus` `pow3` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

10.0ms	(* (pow (cbrt (fma (log y) x (log t))) 2) (cbrt (fma (log y) x (log t))))
0.0ms	(cbrt (fma (log y) x (log t)))
0.0ms	(cbrt (fma (log y) x (log t)))
2.0ms	(pow (cbrt (fma (log y) x (log t))) 2)

series674.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (pow (cbrt (fma (log y) x (log t))) 2) (cbrt (fma (log y) x (log t))))
147.0ms	(cbrt (fma (log y) x (log t)))
151.0ms	(cbrt (fma (log y) x (log t)))
292.0ms	(pow (cbrt (fma (log y) x (log t))) 2)

simplify1.4s

Counts

106 → 106

Iterations

Useful iterations: 2 (602.0ms)

Iter	Nodes	Cost
0	286	3170
1	900	2748
2	4084	2483
done	5001	2483

prune462.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) x (log t)))
0.5b	(pow (cbrt (fma (log y) x (log t))) 2)
0.5b	(pow (cbrt (fma (log y) x (log t))) 2)
0.5b	(cbrt (cbrt (fma (log y) x (log t))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`expm1-log1p-u` `pow-pow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

0.0ms	(cbrt (fma (log y) x (log t)))
2.0ms	(pow (cbrt (fma (log y) x (log t))) 2)
2.0ms	(pow (cbrt (fma (log y) x (log t))) 2)
1.0ms	(cbrt (cbrt (fma (log y) x (log t))))

series911.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (fma (log y) x (log t)))
299.0ms	(pow (cbrt (fma (log y) x (log t))) 2)
298.0ms	(pow (cbrt (fma (log y) x (log t))) 2)
155.0ms	(cbrt (cbrt (fma (log y) x (log t))))

simplify1.6s

Counts

89 → 89

Iterations

Useful iterations: 2 (772.0ms)

Iter	Nodes	Cost
0	305	3425
1	991	3186
2	4535	2982
done	5000	2982

prune531.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes242.0ms

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	9	10
1	10	10
done	10	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

816.0ms	24117×	body	80	nan
339.0ms	8021×	body	80	valid
0.0ms	2×	body	640	valid