Details

sample211.0ms

Algorithm

intervals

Results

87.0ms	249×	body	80	nan
69.0ms	256×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5008
4	1631
3	387
2	108
1	50
0	28

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize57.0ms

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)
0.6b	(fma (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (- c b) (* (sqrt (+ a t)) (/ z t)))
4.5b	(* (sqrt (+ a t)) (/ z t))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

404×	`add-sqr-sqrt`
396×	`times-frac`
305×	`*-un-lft-identity`
272×	`add-cube-cbrt`
220×	`prod-diff`
131×	`associate--r+`
41×	`difference-of-squares`
26×	`div-inv`
16×	`distribute-lft-out--`
14×	`add-cbrt-cube` `add-exp-log`
13×	`fma-neg` `associate-r` `associate-/l*`
9×	`add-log-exp`
7×	`associate-l`
6×	`pow1` `sqrt-prod`
4×	`expm1-log1p-u` `cbrt-undiv` `sqrt-div` `div-exp` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`associate-/r*` `diff-log`
2×	`frac-times` `sub-neg` `flip3-+` `flip3--` `associate-*l/` `prod-exp` `frac-sub` `cbrt-unprod` `flip-+` `flip--`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `fma-udef` `distribute-lft-out` `associate--r-` `associate-/l/`

Counts

4 → 387

Calls

4 calls:

61.0ms	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
7.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (- c b) (* (sqrt (+ a t)) (/ z t)))
24.0ms	(* (sqrt (+ a t)) (/ z t))

series800.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
36.0ms	(/ (/ 2.0 t) 3.0)
635.0ms	(fma (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (- c b) (* (sqrt (+ a t)) (/ z t)))
97.0ms	(* (sqrt (+ a t)) (/ z t))

simplify2.7s

Counts

399 → 399

Iterations

Iter	Nodes
done	5000
2	4580
1	1872
0	760

prune4.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.6b	(fma (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (- c b) (* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t)))
2.1b	(* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
19×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `add-cbrt-cube`
15×	`cbrt-prod`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`frac-times` `flip3-+` `pow1/3` `flip-+`
1×	`associate-l` `associate-r/` `-commutative` `fma-udef` `div-inv`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
0.0ms	(fma (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (- c b) (* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t)))
143.0ms	(* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

series1.2s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt z)
310.0ms	(cbrt z)
406.0ms	(fma (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (- c b) (* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t)))
182.0ms	(* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

simplify1.7s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2167
1	635
0	220

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (exp (* 2.0 (fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x)
0.0b	(fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t))))
0.2b	(* 0.6666666666666666 (- (/ b t) (/ c t)))
0.5b	(- (/ b t) (/ c t))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 606

Calls

4 calls:

0.0ms	(fma y (exp (* 2.0 (fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x)
0.0ms	(fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t))))
56.0ms	(* 0.6666666666666666 (- (/ b t) (/ c t)))
14.0ms	(- (/ b t) (/ c t))

series328.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(fma y (exp (* 2.0 (fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x)
73.0ms	(fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t))))
69.0ms	(* 0.6666666666666666 (- (/ b t) (/ c t)))
36.0ms	(- (/ b t) (/ c t))

simplify4.1s

Counts

618 → 618

Iterations

Iter	Nodes
done	5001
2	3304
1	1351
0	770

prune3.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes475.0ms

Accuracy

0% (1.1b remaining)

Error of 1.7b against oracle of 0.5b and baseline of 1.7b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	33
1	33
0	29

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.6s	8000×	body	80	valid
2.4s	7862×	body	80	nan