Details

sample200.0ms

Algorithm

intervals

Results

85.0ms	259×	body	80	nan
71.0ms	256×	body	80	valid

simplify1.0s

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ a t)))
0.5b	(/ 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))
7.0b	(/ (* z (sqrt (+ a t))) t)

rewrite46.0ms

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:

15.0ms	(* z (sqrt (+ a t)))
12.0ms	(/ 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))
17.0ms	(/ (* z (sqrt (+ a t))) t)

series480.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* z (sqrt (+ a t)))
33.0ms	(/ 2.0 (* t 3.0))
237.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ a t))) t))
116.0ms	(/ (* z (sqrt (+ a t))) t)

simplify1.2s

Counts

101 → 101

Iterations

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

prune2.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize110.0ms

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))))
2.4b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

rewrite53.0ms

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))))
49.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

series987.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt t)
286.0ms	(cbrt t)
251.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
168.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

simplify1.1s

Counts

141 → 141

Iterations

Iter	Nodes
done	2000
2	2000
1	731
0	249

prune3.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.8b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (log1p (expm1 (cbrt t)))))
1.4b	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (log1p (expm1 (cbrt t))))))
1.5b	(log1p (expm1 (cbrt t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

1.0ms	(cbrt t)
41.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (log1p (expm1 (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)) (log1p (expm1 (cbrt t))))))
0.0ms	(log1p (expm1 (cbrt t)))

series1.7s

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt t)
418.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (log1p (expm1 (cbrt t)))))
481.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (log1p (expm1 (cbrt t))))))
443.0ms	(log1p (expm1 (cbrt t)))

simplify1.4s

Counts

114 → 114

Iterations

Iter	Nodes
done	2002
2	2002
1	639
0	225

prune3.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 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))
7.0b	(/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t)
54.4b	(posit16->real (real->posit16 (* z (sqrt (+ a t)))))

rewrite24.0ms

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:

12.0ms	(/ 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))
9.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t)
1.0ms	(posit16->real (real->posit16 (* z (sqrt (+ a t)))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 2.0 (* t 3.0))
226.0ms	(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t))
113.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t)
95.0ms	(posit16->real (real->posit16 (* z (sqrt (+ a t)))))

simplify967.0ms

Counts

88 → 88

Iterations

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

prune3.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes625.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 1.7b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	34
1	34
0	29

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.6s	8000×	body	80	valid
2.5s	8094×	body	80	nan