Details

sample185.0ms

Algorithm

intervals

Results

86.0ms	256×	body	80	valid
55.0ms	258×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
4	1440
3	365
2	102
1	50
0	28

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize98.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
0.3b	(/ (/ 2.0 t) 3.0)
2.4b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
3.6b	(/ (sqrt (+ a t)) (/ t z))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

548×	`times-frac`
469×	`add-sqr-sqrt`
406×	`*-un-lft-identity`
347×	`add-cube-cbrt`
220×	`prod-diff`
131×	`associate--r+`
56×	`sqrt-prod`
41×	`difference-of-squares`
34×	`div-inv`
20×	`associate-/l*`
16×	`associate-/r*` `distribute-lft-out--`
14×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
13×	`fma-neg`
9×	`add-log-exp`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`diff-log` `associate-/l/`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `sqrt-div` `frac-sub` `flip--`
1×	`flip3-+` `associate-/r/` `flip-+` `fma-udef` `associate--r-`

Counts

4 → 473

Calls

4 calls:

83.0ms	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
15.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
25.0ms	(/ (sqrt (+ a t)) (/ t z))

series399.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
20.0ms	(/ (/ 2.0 t) 3.0)
223.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
119.0ms	(/ (sqrt (+ a t)) (/ t z))

simplify3.3s

Counts

485 → 485

Iterations

Iter	Nodes
done	5000
2	4831
1	2125
0	874

prune5.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize112.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
2.4b	(/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))
2.4b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (* (cbrt (+ a t)) (cbrt (+ a t)))) (/ 1 (* (cbrt z) (cbrt z)))) (/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

418×	`times-frac`
264×	`*-un-lft-identity`
218×	`add-sqr-sqrt` `add-cube-cbrt`
197×	`cbrt-prod`
161×	`sqrt-prod`
23×	`distribute-lft-out`
22×	`associate-/r*`
12×	`div-inv`
10×	`associate-/l*`
9×	`add-exp-log`
8×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`cbrt-div` `pow1/3` `sqrt-div` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `associate-/r/` `flip-+` `fma-udef`

Counts

4 → 311

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
29.0ms	(/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))
1.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (* (cbrt (+ a t)) (cbrt (+ a t)))) (/ 1 (* (cbrt z) (cbrt z)))) (/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt z)
268.0ms	(cbrt z)
275.0ms	(/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))
334.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (* (cbrt (+ a t)) (cbrt (+ a t)))) (/ 1 (* (cbrt z) (cbrt z)))) (/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))))

simplify2.8s

Counts

323 → 323

Iterations

Iter	Nodes
done	5000
2	3094
1	1182
0	474

prune3.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize132.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
2.4b	(/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))
2.4b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (* (cbrt (+ a t)) (cbrt (+ a t)))) (/ 1 (* (cbrt z) (cbrt z)))) (posit16->real (real->posit16 (/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))))))
58.3b	(posit16->real (real->posit16 (/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

418×	`times-frac`
263×	`*-un-lft-identity`
217×	`add-sqr-sqrt` `add-cube-cbrt`
194×	`cbrt-prod`
161×	`sqrt-prod`
23×	`distribute-lft-out`
22×	`associate-/r*`
12×	`div-inv`
10×	`associate-/l*`
9×	`add-exp-log`
8×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`cbrt-div` `sqrt-div` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `pow1/3` `associate-/r/` `flip-+` `fma-udef` `remove-posit16`

Counts

4 → 308

Calls

4 calls:

1.0ms	(cbrt z)
23.0ms	(/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (* (cbrt (+ a t)) (cbrt (+ a t)))) (/ 1 (* (cbrt z) (cbrt z)))) (posit16->real (real->posit16 (/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))))))
1.0ms	(posit16->real (real->posit16 (/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt z)
271.0ms	(/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))
333.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (* (cbrt (+ a t)) (cbrt (+ a t)))) (/ 1 (* (cbrt z) (cbrt z)))) (posit16->real (real->posit16 (/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))))))
268.0ms	(posit16->real (real->posit16 (/ (sqrt (cbrt (+ a t))) (/ t (cbrt z)))))

simplify2.6s

Counts

320 → 320

Iterations

Iter	Nodes
done	5003
2	2998
1	1199
0	485

prune5.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (exp (* 2.0 (fma 0.8333333333333334 c (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x)
0.0b	(/ x (fma y (exp (* 2.0 (fma 0.8333333333333334 c (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x))
0.2b	(* 0.6666666666666666 (- (/ b t) (/ c t)))
2.1b	(- (/ b t) (/ c t))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

740×	`times-frac`
597×	`add-sqr-sqrt`
587×	`*-un-lft-identity`
571×	`add-cube-cbrt`
507×	`prod-diff`
171×	`distribute-rgt-in` `distribute-lft-in`
84×	`div-inv`
13×	`fma-neg`
12×	`associate-r`
8×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `sub-neg` `associate-l` `associate-/l`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 625

Calls

4 calls:

0.0ms	(fma y (exp (* 2.0 (fma 0.8333333333333334 c (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x)
4.0ms	(/ x (fma y (exp (* 2.0 (fma 0.8333333333333334 c (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x))
53.0ms	(* 0.6666666666666666 (- (/ b t) (/ c t)))
29.0ms	(- (/ b t) (/ c t))

series418.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(fma y (exp (* 2.0 (fma 0.8333333333333334 c (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x)
176.0ms	(/ x (fma y (exp (* 2.0 (fma 0.8333333333333334 c (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x))
50.0ms	(* 0.6666666666666666 (- (/ b t) (/ c t)))
42.0ms	(- (/ b t) (/ c t))

simplify4.5s

Counts

637 → 637

Iterations

Iter	Nodes
done	5001
2	3416
1	1408
0	799

prune3.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes733.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	40
1	40
0	35

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.8s	8070×	body	80	nan
2.1s	8000×	body	80	valid