Details

sample71.0ms

Algorithm

intervals

Results

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

simplify881.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (31.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	124	11
4	235	10
5	333	10
6	449	10
7	627	10
8	808	10
9	847	10
done	847	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

series131.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (fma (log y) x (log t)) (+ y z))
79.0ms	(fma (log y) x (log t))

simplify2.3s

Counts

51 → 51

Iterations

Useful iterations: 3 (347.0ms)

Iter	Nodes	Cost
0	100	978
1	227	802
2	736	670
3	3999	601
done	5000	601

prune143.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

series376.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (pow (cbrt (fma (log y) x (log t))) 3) (+ y z))
78.0ms	(fma (log y) x (log t))
141.0ms	(cbrt (fma (log y) x (log t)))
103.0ms	(pow (cbrt (fma (log y) x (log t))) 3)

simplify1.4s

Counts

181 → 181

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	244	5196
1	639	3160
2	2634	2618
done	5000	2546

prune365.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma (log y) x (log t))) (pow (cbrt (fma (log y) x (log t))) 2))
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-r`
10×	`add-exp-log` `unswap-sqr`
6×	`pow1` `associate-l`
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×	`cube-unmult` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

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

series655.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (cbrt (fma (log y) x (log t))) (pow (cbrt (fma (log y) x (log t))) 2))
144.0ms	(cbrt (fma (log y) x (log t)))
148.0ms	(cbrt (fma (log y) x (log t)))
279.0ms	(pow (cbrt (fma (log y) x (log t))) 2)

simplify1.4s

Counts

105 → 105

Iterations

Useful iterations: 2 (361.0ms)

Iter	Nodes	Cost
0	287	3170
1	902	2921
2	4525	2554
done	5000	2554

prune500.0ms

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`pow1/3`
7×	`add-exp-log`
6×	`unpow-prod-down` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

0.0ms	(cbrt (fma (log y) x (log t)))
2.0ms	(pow (cbrt (fma (log y) x (log t))) 2)
5.0ms	(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
1.0ms	(cbrt (cbrt (fma (log y) x (log t))))

series871.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (fma (log y) x (log t)))
289.0ms	(pow (cbrt (fma (log y) x (log t))) 2)
286.0ms	(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
150.0ms	(cbrt (cbrt (fma (log y) x (log t))))

simplify376.0ms

Counts

107 → 107

Iterations

Useful iterations: done (370.0ms)

Iter	Nodes	Cost
0	335	3906
1	1037	3423
done	5000	3312

prune592.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes240.0ms

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

sample2.1s

Algorithm

intervals

Results

850.0ms	24117×	body	80	nan
346.0ms	8021×	body	80	valid
0.0ms	2×	body	640	valid