Details

sample67.0ms

Algorithm

intervals

Results

36.0ms	368×	body	80	valid
13.0ms	137×	body	80	nan

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
6	2053
5	653
4	215
3	97
2	52
1	26
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (+ k 10) k 1)
0.0b	(* (pow k m) a)
2.4b	(/ (* (pow k m) a) (fma (+ k 10) k 1))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

0.0ms	(fma (+ k 10) k 1)
16.0ms	(* (pow k m) a)
19.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))

series329.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(fma (+ k 10) k 1)
159.0ms	(* (pow k m) a)
140.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))

simplify1.9s

Counts

74 → 74

Iterations

Iter	Nodes
3	5304
2	1069
1	324
0	137

prune761.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ k 10) k 1)
0.0b	(* (pow k m) a)
0.4b	(/ 1 (fma (+ k 10) k 1))
2.4b	(* (* (pow k m) a) (/ 1 (fma (+ k 10) k 1)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

0.0ms	(fma (+ k 10) k 1)
9.0ms	(* (pow k m) a)
4.0ms	(/ 1 (fma (+ k 10) k 1))
37.0ms	(* (* (pow k m) a) (/ 1 (fma (+ k 10) k 1)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(fma (+ k 10) k 1)
143.0ms	(* (pow k m) a)
41.0ms	(/ 1 (fma (+ k 10) k 1))
120.0ms	(* (* (pow k m) a) (/ 1 (fma (+ k 10) k 1)))

simplify2.4s

Counts

133 → 133

Iterations

Iter	Nodes
3	5435
2	1432
1	501
0	199

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (+ k 10) k 1)
0.1b	(/ (pow k m) (/ (fma (+ k 10) k 1) a))
4.8b	(/ (fma (+ k 10) k 1) a)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
42×	`unpow-prod-down`
18×	`add-exp-log`
16×	`associate-/r*`
14×	`sqr-pow`
10×	`add-cbrt-cube` `div-exp` `div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp`
1×	`associate-/r/` `fma-udef`

Counts

3 → 174

Calls

3 calls:

0.0ms	(fma (+ k 10) k 1)
16.0ms	(/ (pow k m) (/ (fma (+ k 10) k 1) a))
13.0ms	(/ (fma (+ k 10) k 1) a)

series227.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma (+ k 10) k 1)
148.0ms	(/ (pow k m) (/ (fma (+ k 10) k 1) a))
55.0ms	(/ (fma (+ k 10) k 1) a)

simplify756.0ms

Counts

183 → 183

Iterations

Iter	Nodes
2	2337
1	782
0	322

prune2.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (fma (+ k 10) k 1))
2.4b	(* (* (pow k m) a) (* (sqrt (/ 1 (fma (+ k 10) k 1))) (sqrt (/ 1 (fma (+ k 10) k 1)))))
12.6b	(sqrt (/ 1 (fma (+ k 10) k 1)))
12.6b	(sqrt (/ 1 (fma (+ k 10) k 1)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`add-exp-log`
31×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt` `sqrt-prod`
18×	`add-cbrt-cube` `prod-exp`
14×	`pow1`
8×	`cbrt-unprod`
6×	`rem-sqrt-square` `sqrt-pow1` `sqrt-div`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `div-inv` `pow-flip` `associate-/l` `inv-pow`
2×	`pow-to-exp` `pow1/2` `div-exp` `pow-exp`
1×	`frac-times` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `associate-l` `associate-l/` `-commutative`

Counts

4 → 126

Calls

4 calls:

4.0ms	(/ 1 (fma (+ k 10) k 1))
54.0ms	(* (* (pow k m) a) (* (sqrt (/ 1 (fma (+ k 10) k 1))) (sqrt (/ 1 (fma (+ k 10) k 1)))))
3.0ms	(sqrt (/ 1 (fma (+ k 10) k 1)))
11.0ms	(sqrt (/ 1 (fma (+ k 10) k 1)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 1 (fma (+ k 10) k 1))
127.0ms	(* (* (pow k m) a) (* (sqrt (/ 1 (fma (+ k 10) k 1))) (sqrt (/ 1 (fma (+ k 10) k 1)))))
61.0ms	(sqrt (/ 1 (fma (+ k 10) k 1)))
63.0ms	(sqrt (/ 1 (fma (+ k 10) k 1)))

simplify1.7s

Counts

138 → 138

Iterations

Iter	Nodes
3	4661
2	1282
1	443
0	198

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

96.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.1b

bsearch100.0ms

Steps

Iters	Range		Point
8	4.894221099381325	2415.783449530358	2379.959343579875

simplify9.0ms

Iterations

Iter	Nodes
2	38
1	38
0	29

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	11884×	body	80	valid
909.0ms	4227×	body	80	nan