Details

sample134.0ms

Algorithm

intervals

Results

62.0ms	381×	body	80	valid
43.0ms	149×	body	80	nan

simplify1.4s

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize19.0ms

Local error

Found 3 expressions with local error:

2.8b	(/ (* (pow k m) a) (fma (+ k 10) k 1))
0.0b	(* (pow k m) a)
0.0b	(fma (+ k 10) k 1)

rewrite23.0ms

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

11.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
10.0ms	(* (pow k m) a)
0.0ms	(fma (+ k 10) k 1)

series295.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

146.0ms	(* (pow k m) a)
130.0ms	(/ (* (pow k m) a) (fma (+ k 10) k 1))
18.0ms	(fma (+ k 10) k 1)

simplify498.0ms

Counts: 80 → 74

prune872.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.8b

localize22.0ms

Local error

Found 4 expressions with local error:

12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(sqrt (fma (+ k 10) k 1))
0.0b	(/ (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
0.0b	(* (pow k m) a)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
60×	`sqrt-prod`
59×	`add-sqr-sqrt`
52×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
7×	`associate-l`
6×	`pow1` `associate-/r*` `prod-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `unpow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `cbrt-unprod` `sqr-pow`
1×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`

Counts

4 → 158

Calls

4 calls:

Slowest

14.0ms	(* (pow k m) a)
14.0ms	(/ (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
1.0ms	(sqrt (fma (+ k 10) k 1))
1.0ms	(sqrt (fma (+ k 10) k 1))

series345.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(/ (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1)))
123.0ms	(* (pow k m) a)
38.0ms	(sqrt (fma (+ k 10) k 1))
37.0ms	(sqrt (fma (+ k 10) k 1))

simplify454.0ms

Counts: 235 → 170

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 2.8b

localize65.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1))))
12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(sqrt (fma (+ k 10) k 1))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 61

Calls

4 calls:

Slowest

31.0ms	(cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (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))

series159.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

44.0ms	(sqrt (fma (+ k 10) k 1))
39.0ms	(sqrt (fma (+ k 10) k 1))
38.0ms	(cbrt (* (* (sqrt (fma (+ k 10) k 1)) (sqrt (fma (+ k 10) k 1))) (sqrt (fma (+ k 10) k 1))))
37.0ms	(sqrt (fma (+ k 10) k 1))

simplify975.0ms

Counts: 75 → 73

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 2.8b

localize60.0ms

Local error

Found 4 expressions with local error:

12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(sqrt (fma (+ k 10) k 1))
12.6b	(sqrt (fma (+ k 10) k 1))
2.2b	(sqrt (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`times-frac`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`sqrt-div` `div-inv`

Counts

4 → 72

Calls

4 calls:

Slowest

4.0ms	(sqrt (/ (* (pow k m) a) (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))

series461.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

317.0ms	(sqrt (/ (* (pow k m) a) (sqrt (fma (+ k 10) k 1))))
54.0ms	(sqrt (fma (+ k 10) k 1))
54.0ms	(sqrt (fma (+ k 10) k 1))
36.0ms	(sqrt (fma (+ k 10) k 1))

simplify489.0ms

Counts: 96 → 84

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 2.8b

regimes137.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch1.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.0s	12055×	body	80	valid
519.0ms	4249×	body	80	nan