Details

sample108.0ms

Algorithm

intervals

Results

51.0ms	370×	body	80	valid
14.0ms	145×	body	80	nan

simplify6.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2347
5	652
4	213
3	94
2	50
1	24
0	12

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize62.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow k m) a)
2.7b	(/ (* (pow k m) a) (fma k (+ k 10.0) 1.0))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
12×	`add-sqr-sqrt`
9×	`add-cbrt-cube`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`prod-exp`
4×	`unpow-prod-down` `div-exp`
3×	`associate-/r` `times-frac` `associate-r*` `unswap-sqr`
2×	`expm1-log1p-u` `pow-to-exp` `pow1` `cbrt-undiv` `pow-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`clear-num` `frac-2neg` `-commutative` `div-inv` `associate-/l`

Counts

2 → 54

Calls

2 calls:

49.0ms	(* (pow k m) a)
43.0ms	(/ (* (pow k m) a) (fma k (+ k 10.0) 1.0))

series511.0ms

Counts

2 → 6

Calls

2 calls:

214.0ms	(* (pow k m) a)
297.0ms	(/ (* (pow k m) a) (fma k (+ k 10.0) 1.0))

simplify3.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1062
1	322
0	133

prune826.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow k m) a)
0.1b	(/ 1 (/ (fma k (+ k 10.0) 1.0) (* (pow k m) a)))
2.6b	(/ (fma k (+ k 10.0) 1.0) (* (pow k m) a))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log`
36×	`times-frac`
29×	`add-sqr-sqrt`
26×	`div-exp`
24×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube`
15×	`prod-exp`
8×	`associate-/r*`
7×	`cbrt-undiv` `associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`pow1` `unpow-prod-down`
3×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `sqr-pow`
1×	`associate-/r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 119

Calls

3 calls:

42.0ms	(* (pow k m) a)
58.0ms	(/ 1 (/ (fma k (+ k 10.0) 1.0) (* (pow k m) a)))
42.0ms	(/ (fma k (+ k 10.0) 1.0) (* (pow k m) a))

series830.0ms

Counts

3 → 9

Calls

3 calls:

276.0ms	(* (pow k m) a)
286.0ms	(/ 1 (/ (fma k (+ k 10.0) 1.0) (* (pow k m) a)))
268.0ms	(/ (fma k (+ k 10.0) 1.0) (* (pow k m) a))

simplify4.7s

Counts

128 → 128

Iterations

Iter	Nodes
done	5003
2	1805
1	561
0	231

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize214.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log k) m)
0.2b	(* (log k) m)
0.2b	(* (log k) m)
1.8b	(* (/ k (exp (* (log k) m))) (/ k a))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
25×	`associate-l`
24×	`*-un-lft-identity` `add-cube-cbrt`
22×	`times-frac` `add-cbrt-cube` `associate-r`
20×	`add-exp-log`
15×	`pow1`
7×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-pow`
2×	`div-inv`
1×	`frac-times` `associate-l/` `associate-r/`

Counts

4 → 119

Calls

4 calls:

37.0ms	(* (log k) m)
38.0ms	(* (log k) m)
37.0ms	(* (log k) m)
125.0ms	(* (/ k (exp (* (log k) m))) (/ k a))

series594.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (log k) m)
136.0ms	(* (log k) m)
113.0ms	(* (log k) m)
226.0ms	(* (/ k (exp (* (log k) m))) (/ k a))

simplify3.8s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1504
1	462
0	165

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize185.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 99.0 (* k k))
1.7b	(* (/ a k) (exp (* (log k) m)))
1.7b	(* (/ a k) (exp (* (log k) m)))
3.5b	(* (/ (* (/ a k) (exp (* (log k) m))) k) (- (/ 99.0 (* k k)) (/ 10.0 k)))

rewrite624.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
197×	`add-sqr-sqrt`
182×	`prod-diff`
177×	`*-un-lft-identity`
175×	`add-cube-cbrt`
93×	`distribute-rgt-in` `distribute-lft-in`
44×	`div-inv`
33×	`add-cbrt-cube` `associate-l`
27×	`add-exp-log`
14×	`associate-r`
11×	`prod-exp` `cbrt-unprod`
10×	`pow1`
8×	`cbrt-undiv` `div-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `-commutative` `associate-/l`
2×	`sub-neg` `flip3--` `frac-sub` `flip--`
1×	`clear-num` `associate-/r*` `frac-2neg` `distribute-lft-out--`

Counts

4 → 323

Calls

4 calls:

26.0ms	(/ 99.0 (* k k))
54.0ms	(* (/ a k) (exp (* (log k) m)))
75.0ms	(* (/ a k) (exp (* (log k) m)))
393.0ms	(* (/ (* (/ a k) (exp (* (log k) m))) k) (- (/ 99.0 (* k k)) (/ 10.0 k)))

series865.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 99.0 (* k k))
188.0ms	(* (/ a k) (exp (* (log k) m)))
220.0ms	(* (/ a k) (exp (* (log k) m)))
400.0ms	(* (/ (* (/ a k) (exp (* (log k) m))) k) (- (/ 99.0 (* k k)) (/ 10.0 k)))

simplify4.9s

Counts

335 → 335

Iterations

Iter	Nodes
done	5001
1	1894
0	619

prune6.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes573.0ms

Accuracy

98.5% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.2b

bsearch93.0ms

Steps

Iters	Range		Point
8	48607454630169.16	32601291779381716.0	108481932297843.05

simplify12.0ms

Iterations

Iter	Nodes
done	32
1	32
0	26

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	12009×	body	80	valid
426.0ms	4173×	body	80	nan