Details

sample117.0ms

Algorithm

intervals

Results

57.0ms	370×	body	80	valid
33.0ms	124×	body	80	nan

simplify1.8s

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize27.0ms

Local error

Found 4 expressions with local error:

2.7b	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
0.0b	(* a (pow k m))
0.0b	(+ (+ 1 (* 10 k)) (* k k))
0.0b	(+ 1 (* 10 k))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
16×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt` `add-log-exp`
7×	`associate-r`
6×	`fma-def` `prod-exp`
4×	`expm1-log1p-u` `pow1` `sum-log` `unpow-prod-down` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `flip3-+` `times-frac` `associate-l*` `flip-+` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `+-commutative` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `clear-num` `frac-2neg` `-commutative` `div-inv` `associate-/l`

Counts

4 → 92

Calls

4 calls:

Slowest

38.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
27.0ms	(+ (+ 1 (* 10 k)) (* k k))
9.0ms	(* a (pow k m))
9.0ms	(+ 1 (* 10 k))

series334.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))
113.0ms	(* a (pow k m))
49.0ms	(+ 1 (* 10 k))
30.0ms	(+ (+ 1 (* 10 k)) (* k k))

simplify750.0ms

Counts: 104 → 104

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.7b

localize47.0ms

Local error

Found 4 expressions with local error:

2.5b	(* a (/ (pow k m) (fma k k (fma 10 k 1))))
0.2b	(/ (pow k m) (fma k k (fma 10 k 1)))
0.0b	(fma 10 k 1)
0.0b	(fma k k (fma 10 k 1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

Slowest

11.0ms	(* a (/ (pow k m) (fma k k (fma 10 k 1))))
7.0ms	(/ (pow k m) (fma k k (fma 10 k 1)))
0.0ms	(fma 10 k 1)
0.0ms	(fma k k (fma 10 k 1))

series336.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

153.0ms	(* a (/ (pow k m) (fma k k (fma 10 k 1))))
98.0ms	(/ (pow k m) (fma k k (fma 10 k 1)))
49.0ms	(fma 10 k 1)
35.0ms	(fma k k (fma 10 k 1))

simplify794.0ms

Counts: 133 → 133

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.7b

localize40.0ms

Local error

Found 4 expressions with local error:

16.0b	(sqrt (fma k k (fma 10 k 1)))
16.0b	(sqrt (fma k k (fma 10 k 1)))
2.5b	(* a (/ (/ (pow k m) (sqrt (fma k k (fma 10 k 1)))) (sqrt (fma k k (fma 10 k 1)))))
0.0b	(fma 10 k 1)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

554×	`times-frac`
316×	`add-sqr-sqrt`
283×	`sqrt-prod`
280×	`associate-r`
262×	`*-un-lft-identity` `add-cube-cbrt`
112×	`unpow-prod-down`
40×	`sqr-pow`
20×	`add-exp-log`
15×	`unswap-sqr`
13×	`add-cbrt-cube`
8×	`pow1`
7×	`div-exp` `div-inv`
5×	`prod-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-l` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `pow-prod-down` `pow-exp` `associate-r/` `-commutative` `fma-udef`

Counts

4 → 362

Calls

4 calls:

Slowest

27.0ms	(* a (/ (/ (pow k m) (sqrt (fma k k (fma 10 k 1)))) (sqrt (fma k k (fma 10 k 1)))))
3.0ms	(sqrt (fma k k (fma 10 k 1)))
2.0ms	(sqrt (fma k k (fma 10 k 1)))
0.0ms	(fma 10 k 1)

series331.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(* a (/ (/ (pow k m) (sqrt (fma k k (fma 10 k 1)))) (sqrt (fma k k (fma 10 k 1)))))
64.0ms	(sqrt (fma k k (fma 10 k 1)))
54.0ms	(fma 10 k 1)
50.0ms	(sqrt (fma k k (fma 10 k 1)))

simplify1.3s

Counts: 374 → 374

prune6.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 2.7b

localize42.0ms

Local error

Found 4 expressions with local error:

16.0b	(sqrt (fma k k (fma 10 k 1)))
16.0b	(sqrt (fma k k (fma 10 k 1)))
0.1b	(* (/ a (sqrt (fma k k (fma 10 k 1)))) (/ (pow k m) (sqrt (fma k k (fma 10 k 1)))))
0.0b	(fma 10 k 1)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
92×	`times-frac`
52×	`sqrt-prod`
46×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
22×	`associate-l`
21×	`unswap-sqr`
16×	`add-cbrt-cube`
12×	`sqr-pow`
10×	`div-exp`
8×	`pow1` `prod-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef`

Counts

4 → 159

Calls

4 calls:

Slowest

24.0ms	(* (/ a (sqrt (fma k k (fma 10 k 1)))) (/ (pow k m) (sqrt (fma k k (fma 10 k 1)))))
2.0ms	(sqrt (fma k k (fma 10 k 1)))
2.0ms	(sqrt (fma k k (fma 10 k 1)))
0.0ms	(fma 10 k 1)

series312.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(* (/ a (sqrt (fma k k (fma 10 k 1)))) (/ (pow k m) (sqrt (fma k k (fma 10 k 1)))))
59.0ms	(fma 10 k 1)
53.0ms	(sqrt (fma k k (fma 10 k 1)))
49.0ms	(sqrt (fma k k (fma 10 k 1)))

simplify1.3s

Counts: 171 → 171

prune2.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes341.0ms

Accuracy

96.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 2.0b

bsearch141.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.1s	12017×	body	80	valid
665.0ms	4337×	body	80	nan