Details

sample241.0ms

Algorithm

intervals

Results

99.0ms	256×	body	80	valid
81.0ms	257×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

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

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ a t)) t)
0.3b	(/ (/ 2.0 t) 3.0)
1.3b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
1.7b	(* z (/ (sqrt (+ a t)) t))

rewrite74.0ms

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:

28.0ms	(/ (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)))
24.0ms	(* z (/ (sqrt (+ a t)) t))

series469.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (sqrt (+ a t)) t)
39.0ms	(/ (/ 2.0 t) 3.0)
207.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
117.0ms	(* z (/ (sqrt (+ a t)) t))

simplify754.0ms

Counts

192 → 192

Iterations

Iter	Nodes
2	2130
1	824
0	355

prune4.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
1.3b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))

rewrite51.0ms

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)
44.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
1.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))

series993.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt t)
291.0ms	(cbrt t)
197.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
260.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))

simplify937.0ms

Counts

141 → 141

Iterations

Iter	Nodes
2	2506
1	725
0	249

prune3.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (cbrt t)))))
1.3b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (cbrt t))))))
57.9b	(posit16->real (real->posit16 (cbrt t)))

rewrite71.0ms

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` `pow1/3` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef` `remove-posit16`

Counts

4 → 101

Calls

4 calls:

1.0ms	(cbrt t)
66.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (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)) (posit16->real (real->posit16 (cbrt t))))))
0.0ms	(posit16->real (real->posit16 (cbrt t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt t)
179.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (cbrt t)))))
311.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (cbrt t))))))
321.0ms	(posit16->real (real->posit16 (cbrt t)))

simplify634.0ms

Counts

113 → 113

Iterations

Iter	Nodes
2	2365
1	625
0	229

prune4.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize138.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (cbrt t)))))
1.3b	(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)) (posit16->real (real->posit16 (cbrt t))))))))
51.6b	(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (cbrt t)))))))
57.9b	(posit16->real (real->posit16 (cbrt t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`times-frac`
26×	`*-un-lft-identity`
25×	`associate-r` `add-exp-log`
21×	`add-cbrt-cube`
20×	`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×	`distribute-lft-out`
2×	`div-inv` `remove-posit16`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef`

Counts

4 → 98

Calls

4 calls:

44.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (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)) (posit16->real (real->posit16 (cbrt t))))))))
0.0ms	(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (cbrt t)))))))
0.0ms	(posit16->real (real->posit16 (cbrt t)))

series956.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (cbrt t)))))
309.0ms	(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)) (posit16->real (real->posit16 (cbrt t))))))))
177.0ms	(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (posit16->real (real->posit16 (cbrt t)))))))
288.0ms	(posit16->real (real->posit16 (cbrt t)))

simplify1.0s

Counts

110 → 110

Iterations

Iter	Nodes
2	2281
1	635
0	229

prune5.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes620.0ms

Accuracy

0% (0.9b remaining)

Error of 1.4b against oracle of 0.6b and baseline of 1.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	32
1	32
0	29

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.8s	8000×	body	80	valid
2.0s	8039×	body	80	nan