Details

sample159.0ms

Algorithm

intervals

Results

78.0ms	256×	body	80	valid
46.0ms	222×	body	80	nan

simplify451.0ms

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize58.0ms

Local error

Found 4 expressions with local error:

5.5b	(/ (* z (sqrt (+ a t))) t)
2.8b	(- (/ (* z (sqrt (+ a t))) t) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
0.2b	(* z (sqrt (+ a t)))
0.2b	(/ 2.0 (* t 3.0))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
25×	`prod-diff`
22×	`associate--r+`
16×	`add-cbrt-cube` `add-exp-log`
14×	`frac-sub`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`flip3--` `flip--`
8×	`frac-times`
7×	`fma-neg` `associate-r`
6×	`pow1` `frac-add` `associate-*r/` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `sqrt-div` `div-exp` `associate-l/` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `unswap-sqr` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

Slowest

46.0ms	(- (/ (* z (sqrt (+ a t))) t) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
30.0ms	(* z (sqrt (+ a t)))
12.0ms	(/ 2.0 (* t 3.0))
12.0ms	(/ (* z (sqrt (+ a t))) t)

series460.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

245.0ms	(- (/ (* z (sqrt (+ a t))) t) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
102.0ms	(* z (sqrt (+ a t)))
90.0ms	(/ (* z (sqrt (+ a t))) t)
23.0ms	(/ 2.0 (* t 3.0))

simplify867.0ms

Counts: 187 → 155

prune3.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

1.8b	(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

Slowest

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

514.0ms	(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
307.0ms	(cbrt t)
299.0ms	(cbrt t)
278.0ms	(cbrt t)

simplify837.0ms

Counts: 71 → 65

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize93.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (/ z (/ t (sqrt (+ a t)))) (* (+ (- a (/ (/ 2.0 t) 3.0)) (/ 5.0 6.0)) (- b c)))
1.4b	(/ z (/ t (sqrt (+ a t))))
0.9b	(log (exp (- (/ z (/ t (sqrt (+ a t)))) (* (+ (- a (/ (/ 2.0 t) 3.0)) (/ 5.0 6.0)) (- b c)))))
0.4b	(/ t (sqrt (+ a t)))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

618×	`times-frac`
414×	`*-un-lft-identity`
328×	`add-sqr-sqrt` `add-cube-cbrt`
190×	`prod-diff`
172×	`sqrt-prod`
91×	`log-prod`
88×	`exp-sum`
86×	`fma-neg`
43×	`distribute-lft-out`
34×	`associate-/r*`
32×	`associate-/r/`
28×	`sqrt-div`
22×	`associate--r+`
18×	`div-inv`
17×	`flip3-+` `flip-+`
14×	`frac-sub`
11×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
9×	`flip3--` `flip--`
8×	`frac-times`
6×	`frac-add` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `div-exp` `associate-*l/` `log-pow` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod`
2×	`clear-num` `frac-2neg` `associate-*r/`
1×	`log-div` `exp-diff` `diff-log` `rem-log-exp`

Counts

4 → 507

Calls

4 calls:

Slowest

134.0ms	(log (exp (- (/ z (/ t (sqrt (+ a t)))) (* (+ (- a (/ (/ 2.0 t) 3.0)) (/ 5.0 6.0)) (- b c)))))
118.0ms	(- (/ z (/ t (sqrt (+ a t)))) (* (+ (- a (/ (/ 2.0 t) 3.0)) (/ 5.0 6.0)) (- b c)))
18.0ms	(/ t (sqrt (+ a t)))
13.0ms	(/ z (/ t (sqrt (+ a t))))

series811.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

294.0ms	(log (exp (- (/ z (/ t (sqrt (+ a t)))) (* (+ (- a (/ (/ 2.0 t) 3.0)) (/ 5.0 6.0)) (- b c)))))
282.0ms	(- (/ z (/ t (sqrt (+ a t)))) (* (+ (- a (/ (/ 2.0 t) 3.0)) (/ 5.0 6.0)) (- b c)))
140.0ms	(/ z (/ t (sqrt (+ a t))))
95.0ms	(/ t (sqrt (+ a t)))

simplify1.7s

Counts: 816 → 519

prune13.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

60.4b	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
5.5b	(/ (* z (sqrt (+ a t))) t)
2.8b	(- (/ (* z (sqrt (+ a t))) t) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
0.2b	(* z (sqrt (+ a t)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`prod-diff` `add-cube-cbrt`
22×	`associate--r+`
14×	`frac-sub`
11×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
9×	`times-frac` `flip3--` `flip--`
8×	`frac-times`
7×	`fma-neg` `associate-r`
6×	`pow1` `frac-add` `associate-*r/` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`expm1-log1p-u` `sqrt-div` `associate-*l/` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `sub-neg` `associate-l*` `div-inv`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `remove-posit16` `distribute-lft-out` `associate-/l`

Counts

4 → 130

Calls

4 calls:

Slowest

26.0ms	(- (/ (* z (sqrt (+ a t))) t) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
24.0ms	(/ (* z (sqrt (+ a t))) t)
18.0ms	(* z (sqrt (+ a t)))
0.0ms	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

series474.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

266.0ms	(- (/ (* z (sqrt (+ a t))) t) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
103.0ms	(/ (* z (sqrt (+ a t))) t)
81.0ms	(* z (sqrt (+ a t)))
24.0ms	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

simplify732.0ms

Counts: 169 → 142

prune5.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes909.0ms

Accuracy

0% (1.2b remaining)

Error of 1.7b against oracle of 0.5b and baseline of 1.7b

bsearch13.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.4s	8041×	body	80	nan
2.2s	8000×	body	80	valid