Details

sample185.0ms

Algorithm

intervals

Results

55.0ms	256×	body	80	valid
53.0ms	259×	body	80	nan

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
5	5939
4	1474
3	365
2	102
1	50
0	28

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (+ a t)) t)
0.3b	(/ (/ 2.0 t) 3.0)
1.6b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
2.6b	(* z (/ (sqrt (+ a t)) t))

rewrite44.0ms

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:

11.0ms	(/ (sqrt (+ a t)) t)
13.0ms	(/ (/ 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)))
17.0ms	(* z (/ (sqrt (+ a t)) t))

series478.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (sqrt (+ a t)) t)
24.0ms	(/ (/ 2.0 t) 3.0)
258.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
119.0ms	(* z (/ (sqrt (+ a t)) t))

simplify1.0s

Counts

192 → 192

Iterations

Iter	Nodes
2	2130
1	824
0	355

prune1.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

321.0ms	(cbrt t)
299.0ms	(cbrt t)
335.0ms	(cbrt t)
273.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (* z (/ (sqrt (sqrt (+ a t))) (* (cbrt t) (cbrt t)))) (/ (sqrt (sqrt (+ a t))) (cbrt t))))

simplify3.1s

Counts

65 → 65

Iterations

Iter	Nodes
4	7156
3	1086
2	334
1	141
0	74

prune844.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2.0 t) 3.0)
1.6b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))))
2.6b	(* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))))
58.2b	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

rewrite15.0ms

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:

7.0ms	(/ (/ 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)))))
6.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))))
0.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

series800.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (/ 2.0 t) 3.0)
231.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))))
128.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))))
417.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

simplify1.8s

Counts

128 → 128

Iterations

Iter	Nodes
3	4496
2	1554
1	641
0	286

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes639.0ms

Accuracy

0% (1.3b remaining)

Error of 1.6b against oracle of 0.3b and baseline of 1.6b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
2	35
1	35
0	31

end0.0ms

sample5.9s

Algorithm

intervals

Results

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