Details

sample200.0ms

Algorithm

intervals

Results

87.0ms	254×	body	80	nan
64.0ms	256×	body	80	valid

simplify2.3s

Counts: 1 → 1

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize79.0ms

Local error

Found 4 expressions with local error:

1.9b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
0.3b	(/ (/ 2.0 t) 3.0)
0.3b	(/ (sqrt (+ a t)) t)
0.1b	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

431×	`add-sqr-sqrt`
301×	`times-frac`
255×	`*-un-lft-identity`
188×	`add-cube-cbrt`
182×	`prod-diff`
94×	`distribute-rgt-in` `distribute-lft-in`
81×	`difference-of-squares`
30×	`distribute-lft-out--`
20×	`div-inv` `associate-/l*`
16×	`sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
11×	`flip3--` `flip--`
8×	`frac-times`
7×	`associate-r`
6×	`pow1` `associate-/r*` `frac-sub`
5×	`associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `sub-neg` `frac-2neg` `sqrt-div` `associate-*l/` `associate--r-`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

4 → 361

Calls

4 calls:

Slowest

234.0ms	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))
20.0ms	(/ (sqrt (+ a t)) t)
7.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

323.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
112.0ms	(/ (sqrt (+ a t)) t)
90.0ms	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))
35.0ms	(/ (/ 2.0 t) 3.0)

simplify1.1s

Counts: 373 → 373

prune11.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

59.4b	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
1.9b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))
0.3b	(/ (/ 2.0 t) 3.0)
0.3b	(/ (sqrt (+ a t)) t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
70×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`associate-/l*`
16×	`sqrt-prod`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-div`
1×	`flip3-+` `flip-+` `fma-udef` `remove-posit16`

Counts

4 → 143

Calls

4 calls:

Slowest

10.0ms	(/ (sqrt (+ a t)) t)
7.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
0.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))

series409.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

275.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))
85.0ms	(/ (sqrt (+ a t)) t)
26.0ms	(/ (/ 2.0 t) 3.0)
23.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))

simplify659.0ms

Counts: 155 → 155

prune6.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize146.0ms

Local error

Found 4 expressions with local error:

59.4b	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
48.5b	(posit16->real (real->posit16 (fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))))
1.9b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))
0.3b	(/ (/ 2.0 t) 3.0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`remove-posit16`
1×	`clear-num` `frac-2neg` `fma-udef` `associate-/l/`

Counts

4 → 106

Calls

4 calls:

Slowest

15.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
0.0ms	(posit16->real (real->posit16 (fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))))
0.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))

series993.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

665.0ms	(posit16->real (real->posit16 (fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))))
260.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))
44.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
23.0ms	(/ (/ 2.0 t) 3.0)

simplify1.3s

Counts: 118 → 118

prune6.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (1.4b remaining)

Error of 2.1b against oracle of 0.7b and baseline of 2.1b

bsearch12.0ms

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.3s	8000×	body	80	valid
2.2s	7891×	body	80	nan