Details

sample103.0ms

Algorithm

intervals

Results

59.0ms	373×	body	80	valid
17.0ms	124×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2047
6	2047
5	655
4	215
3	97
2	52
1	26
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow k m) a)
1.3b	(/ (* (pow k m) a) (fma (+ k 10) k 1))

rewrite25.0ms

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:

9.0ms	(* (pow k m) a)
15.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))

series219.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* (pow k m) a)
126.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))

simplify731.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2008
3	2008
2	1033
1	311
0	129

prune500.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow k m) a)
0.3b	(/ 1 (fma (+ k 10) k 1))
1.3b	(* (* (pow k m) a) (/ 1 (fma (+ k 10) k 1)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

9.0ms	(* (pow k m) a)
4.0ms	(/ 1 (fma (+ k 10) k 1))
31.0ms	(* (* (pow k m) a) (/ 1 (fma (+ k 10) k 1)))

series310.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(* (pow k m) a)
29.0ms	(/ 1 (fma (+ k 10) k 1))
140.0ms	(* (* (pow k m) a) (/ 1 (fma (+ k 10) k 1)))

simplify890.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	2002
3	2002
2	1530
1	492
0	192

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
1.3b	(* (* (pow k m) a) (/ (/ 1 (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1))))
16.1b	(sqrt (fma (+ k 10) k 1))
16.1b	(sqrt (fma (+ k 10) k 1))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

498×	`times-frac`
268×	`add-sqr-sqrt`
266×	`*-un-lft-identity` `add-cube-cbrt`
258×	`sqrt-prod`
136×	`associate-r`
83×	`add-exp-log`
35×	`prod-exp`
30×	`add-cbrt-cube` `div-exp`
22×	`associate-/l*`
15×	`pow1` `div-inv`
9×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-/r*` `sqrt-pow1` `pow1/2` `pow-div`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `pow-flip`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square`
1×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `associate-r/` `-commutative` `inv-pow` `associate-/l/`

Counts

4 → 394

Calls

4 calls:

13.0ms	(/ (/ 1 (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
31.0ms	(* (* (pow k m) a) (/ (/ 1 (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1))))
2.0ms	(sqrt (fma (+ k 10) k 1))
1.0ms	(sqrt (fma (+ k 10) k 1))

series226.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (/ 1 (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
119.0ms	(* (* (pow k m) a) (/ (/ 1 (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1))))
40.0ms	(sqrt (fma (+ k 10) k 1))
34.0ms	(sqrt (fma (+ k 10) k 1))

simplify1.3s

Counts

406 → 406

Iterations

Iter	Nodes
done	2000
2	2000
1	1382
0	454

prune5.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.3b

localize35.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (pow k m) a) (/ (/ 1 (sqrt (fma (+ k 10) k 1))) (* (sqrt (sqrt (fma (+ k 10) k 1))) (sqrt (sqrt (fma (+ k 10) k 1))))))
16.1b	(sqrt (fma (+ k 10) k 1))
16.1b	(sqrt (fma (+ k 10) k 1))
16.1b	(sqrt (fma (+ k 10) k 1))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

150×	`add-exp-log`
79×	`prod-exp`
48×	`div-exp`
45×	`add-cbrt-cube`
40×	`times-frac`
26×	`associate-r`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`cbrt-unprod`
18×	`sqrt-prod`
12×	`cbrt-undiv`
9×	`pow-to-exp` `pow1` `pow-exp`
8×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`div-inv`
1×	`associate-l` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 134

Calls

4 calls:

68.0ms	(* (* (pow k m) a) (/ (/ 1 (sqrt (fma (+ k 10) k 1))) (* (sqrt (sqrt (fma (+ k 10) k 1))) (sqrt (sqrt (fma (+ k 10) k 1))))))
1.0ms	(sqrt (fma (+ k 10) k 1))
1.0ms	(sqrt (fma (+ k 10) k 1))
1.0ms	(sqrt (fma (+ k 10) k 1))

series266.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (* (pow k m) a) (/ (/ 1 (sqrt (fma (+ k 10) k 1))) (* (sqrt (sqrt (fma (+ k 10) k 1))) (sqrt (sqrt (fma (+ k 10) k 1))))))
40.0ms	(sqrt (fma (+ k 10) k 1))
50.0ms	(sqrt (fma (+ k 10) k 1))
38.0ms	(sqrt (fma (+ k 10) k 1))

simplify1.1s

Counts

146 → 146

Iterations

Iter	Nodes
done	2001
2	2001
1	695
0	238

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.3b

regimes93.0ms

Accuracy

0% (0.0b remaining)

Error of 1.7b against oracle of 1.6b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.1s	11974×	body	80	valid
625.0ms	4200×	body	80	nan