Details

sample154.0ms

Algorithm

intervals

Results

55.0ms	843×	body	80	nan
42.0ms	287×	body	80	valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	76	19
3	206	19
4	503	19
5	992	19
6	2080	19
7	3449	19
done	5000	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
0.1b	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
78×	`prod-diff`
67×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`associate-r/` `associate-r*`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `associate-/l*`
2×	`sub-neg` `sqrt-pow1` `pow-prod-down` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

1.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
62.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
49.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
36.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series842.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
223.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
90.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
237.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.6s

Counts

179 → 179

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	453	7178
1	946	6698
2	2964	5557
done	5000	5038

prune535.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.1b	(* (/ 1.0 3.0) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
34×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-l` `add-cbrt-cube`
9×	`pow1` `sqrt-prod`
8×	`associate-/r*`
6×	`sqrt-div` `associate-r/` `associate-/l`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-r` `flip--` `div-inv`
2×	`frac-2neg` `sqrt-pow1` `pow-prod-down` `prod-exp` `clear-num` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow1/2` `associate-l/` `-commutative`

Counts

4 → 121

Calls

4 calls:

54.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
32.0ms	(* (/ 1.0 3.0) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
48.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
37.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series865.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
294.0ms	(* (/ 1.0 3.0) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
240.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
191.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.5s

Counts

133 → 133

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	243	2440
1	580	2352
2	1786	2157
done	5000	2137

prune716.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.1b	(* (/ 1.0 3.0) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

423×	`times-frac`
317×	`add-sqr-sqrt`
243×	`*-un-lft-identity`
233×	`sqrt-prod`
197×	`add-cube-cbrt`
46×	`difference-of-squares`
25×	`associate-/l*`
23×	`distribute-lft-out--`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l` `associate-/r*` `div-inv`
9×	`pow1`
6×	`sqrt-div`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-*r/` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-r` `flip--`
2×	`frac-2neg` `sqrt-pow1` `pow-prod-down` `prod-exp` `clear-num` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow1/2` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 334

Calls

4 calls:

56.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
27.0ms	(* (/ 1.0 3.0) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
26.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
43.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series900.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
292.0ms	(* (/ 1.0 3.0) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
209.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
290.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify2.2s

Counts

346 → 346

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	567	8157
1	1299	7504
2	3347	7293
done	5001	7292

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b	(/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
0.4b	(/ (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
282×	`sqrt-prod`
188×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`sqrt-div`
30×	`associate-/l*`
24×	`associate-*r/`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3--` `flip--`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-pow1` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow1/2` `pow-prod-down` `clear-num`
1×	`associate-/l/`

Counts

4 → 319

Calls

4 calls:

85.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
54.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
19.0ms	(/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
61.0ms	(/ (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

series752.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
114.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
333.0ms	(/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
200.0ms	(/ (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

simplify2.1s

Counts

331 → 331

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	512	11588
1	1194	10293
2	2688	9649
done	5000	9270

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	35
1	28	35
2	32	35
done	32	35

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.6s	26709×	body	80	nan
882.0ms	9112×	body	80	valid