Details

sample222.0ms

Algorithm

intervals

Results

95.0ms	260×	body	80	nan
69.0ms	256×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
5	5941
4	1474
3	365
2	102
1	50
0	28

prune52.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (+ a t)) t)
0.3b	(/ (/ 2.0 t) 3.0)
1.8b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
2.5b	(* z (/ (sqrt (+ a t)) t))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 180

Calls

4 calls:

22.0ms	(/ (sqrt (+ a t)) t)
15.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
37.0ms	(* z (/ (sqrt (+ a t)) t))

series431.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (sqrt (+ a t)) t)
20.0ms	(/ (/ 2.0 t) 3.0)
233.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
98.0ms	(* z (/ (sqrt (+ a t)) t))

simplify897.0ms

Counts

192 → 192

Iterations

Iter	Nodes
2	2135
1	826
0	355

prune4.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

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) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
73.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

series970.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt t)
253.0ms	(cbrt t)
278.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
175.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

simplify947.0ms

Counts

141 → 141

Iterations

Iter	Nodes
2	2537
1	728
0	249

prune3.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2.0 t) 3.0)
1.8b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))))
2.5b	(* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))))
57.8b	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

16.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))))
13.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))))
1.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (/ 2.0 t) 3.0)
215.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))))
111.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))))
81.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

simplify2.2s

Counts

128 → 128

Iterations

Iter	Nodes
3	4522
2	1559
1	643
0	286

prune4.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.8b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))))
2.0b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
53.8b	(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
58×	`times-frac`
46×	`-un-lft-identity` `associate-r*`
34×	`add-cube-cbrt`
28×	`cbrt-prod` `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×	`div-inv`
1×	`frac-times` `pow1/3` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef` `remove-posit16`

Counts

4 → 126

Calls

4 calls:

1.0ms	(cbrt t)
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))))
86.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
1.0ms	(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))))

series866.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt t)
303.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))))
148.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
135.0ms	(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))))

simplify887.0ms

Counts

138 → 138

Iterations

Iter	Nodes
2	2702
1	735
0	260

prune5.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes726.0ms

Accuracy

0% (1.3b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	32
1	32
0	29

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.7s	7945×	body	80	nan
2.5s	8000×	body	80	valid