Details

sample114.0ms

Algorithm

intervals

Results

62.0ms	385×	body	80	valid
24.0ms	120×	body	80	nan

simplify1.5s

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize35.0ms

Local error

Found 3 expressions with local error:

1.7b	(/ (* (pow k m) a) (fma (+ k 10) k 1))
0.0b	(* (pow k m) a)
0.0b	(fma (+ k 10) k 1)

rewrite39.0ms

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:

Slowest

21.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
16.0ms	(* (pow k m) a)
0.0ms	(fma (+ k 10) k 1)

series321.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

161.0ms	(* (pow k m) a)
139.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
21.0ms	(fma (+ k 10) k 1)

simplify2.3s

Counts: 74 → 74

prune791.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

1.7b	(/ (* (pow k m) a) (fma (+ k 10) k 1))
0.0b	(* (pow k m) a)
0.0b	(fma (+ k 10) k 1)

rewrite37.0ms

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:

Slowest

19.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
17.0ms	(* (pow k m) a)
0.0ms	(fma (+ k 10) k 1)

series271.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

120.0ms	(* (pow k m) a)
118.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
33.0ms	(fma (+ k 10) k 1)

simplify2.8s

Counts: 74 → 74

prune931.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (pow k m) a) (/ 1 (fma (+ k 10) k 1)))
0.2b	(/ 1 (fma (+ k 10) k 1))
0.0b	(* (pow k m) a)
0.0b	(fma (+ k 10) k 1)

rewrite51.0ms

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:

Slowest

32.0ms	(* (* (pow k m) a) (/ 1 (fma (+ k 10) k 1)))
9.0ms	(* (pow k m) a)
8.0ms	(/ 1 (fma (+ k 10) k 1))
0.0ms	(fma (+ k 10) k 1)

series307.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

130.0ms	(* (pow k m) a)
123.0ms	(* (* (pow k m) a) (/ 1 (fma (+ k 10) k 1)))
31.0ms	(/ 1 (fma (+ k 10) k 1))
23.0ms	(fma (+ k 10) k 1)

simplify2.8s

Counts: 133 → 133

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (/ (* (pow k m) a) (fma (+ k 10) k 1)))
8.4b	(cbrt (/ (* (pow k m) a) (fma (+ k 10) k 1)))
8.4b	(cbrt (/ (* (pow k m) a) (fma (+ k 10) k 1)))
1.7b	(/ (* (pow k m) a) (fma (+ k 10) k 1))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

Slowest

19.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
11.0ms	(cbrt (/ (* (pow k m) a) (fma (+ k 10) k 1)))
5.0ms	(cbrt (/ (* (pow k m) a) (fma (+ k 10) k 1)))
5.0ms	(cbrt (/ (* (pow k m) a) (fma (+ k 10) k 1)))

series822.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

254.0ms	(cbrt (/ (* (pow k m) a) (fma (+ k 10) k 1)))
228.0ms	(cbrt (/ (* (pow k m) a) (fma (+ k 10) k 1)))
205.0ms	(cbrt (/ (* (pow k m) a) (fma (+ k 10) k 1)))
135.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))

simplify2.7s

Counts: 95 → 95

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

98.2% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 2.1b

bsearch101.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	11995×	body	80	valid
577.0ms	4237×	body	80	nan