Details

sample175.0ms

Algorithm

intervals

Results

57.0ms	251×	body	80	nan
54.0ms	256×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
5	2003
4	1440
3	365
2	102
1	50
0	28

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ a t)))
0.3b	(/ 2.0 (* t 3.0))
1.6b	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ a t))) t))
7.4b	(/ (* z (sqrt (+ a t))) t)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

26.0ms	(* z (sqrt (+ a t)))
6.0ms	(/ 2.0 (* t 3.0))
0.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ a t))) t))
19.0ms	(/ (* z (sqrt (+ a t))) t)

series384.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* z (sqrt (+ a t)))
20.0ms	(/ 2.0 (* t 3.0))
182.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ a t))) t))
112.0ms	(/ (* z (sqrt (+ a t))) t)

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	2022
3	2022
2	1689
1	565
0	233

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.6b	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
1.7b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
25×	`add-exp-log`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef`

Counts

4 → 129

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
0.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
74.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt t)
287.0ms	(cbrt t)
270.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
178.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

simplify1.2s

Counts

141 → 141

Iterations

Iter	Nodes
done	2000
2	2000
1	731
0	249

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
1.6b	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t))
7.4b	(/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t)
54.2b	(posit16->real (real->posit16 (* z (sqrt (+ a t)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(/ 2.0 (* t 3.0))
0.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t))
4.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t)
0.0ms	(posit16->real (real->posit16 (* z (sqrt (+ a t)))))

series484.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 2.0 (* t 3.0))
273.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t))
103.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t)
77.0ms	(posit16->real (real->posit16 (* z (sqrt (+ a t)))))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	2038
3	2038
2	1284
1	454
0	200

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- c b))
0.0b	(fma y (exp (* 2.0 (- (* a (- c b)) (* 0.8333333333333334 b)))) x)
0.0b	(/ x (fma y (exp (* 2.0 (- (* a (- c b)) (* 0.8333333333333334 b)))) x))
0.0b	(- (* a (- c b)) (* 0.8333333333333334 b))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
37×	`prod-diff`
22×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
5×	`sub-neg` `associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`flip3--` `associate-*r/` `flip--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

17.0ms	(* a (- c b))
0.0ms	(fma y (exp (* 2.0 (- (* a (- c b)) (* 0.8333333333333334 b)))) x)
7.0ms	(/ x (fma y (exp (* 2.0 (- (* a (- c b)) (* 0.8333333333333334 b)))) x))
38.0ms	(- (* a (- c b)) (* 0.8333333333333334 b))

series375.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* a (- c b))
142.0ms	(fma y (exp (* 2.0 (- (* a (- c b)) (* 0.8333333333333334 b)))) x)
150.0ms	(/ x (fma y (exp (* 2.0 (- (* a (- c b)) (* 0.8333333333333334 b)))) x))
36.0ms	(- (* a (- c b)) (* 0.8333333333333334 b))

simplify1.3s

Counts

139 → 139

Iterations

Iter	Nodes
done	2004
3	2004
2	1056
1	441
0	208

prune763.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes631.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	34
1	34
0	29

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.1s	8000×	body	80	valid
2.2s	8065×	body	80	nan