Details

sample100.0ms

Algorithm

intervals

Results

40.0ms	883×	body	80	nan
15.0ms	290×	body	80	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (35.0ms)

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

localize13.0ms

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))))
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite167.0ms

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:

0.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
71.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
57.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
29.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series790.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
219.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
109.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
190.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.4s

Counts

179 → 179

Iterations

Useful iterations: done (2.4s)

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

prune553.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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))))
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `sqrt-prod`
8×	`add-exp-log` `sqrt-div` `associate-r/` `associate-/r` `add-cbrt-cube`
6×	`associate-/l*`
4×	`expm1-log1p-u` `flip3--` `sqrt-pow1` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-exp` `pow-prod-down` `clear-num` `div-inv`

Counts

4 → 100

Calls

4 calls:

83.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
69.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
35.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
36.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series613.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
98.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
210.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
201.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.2s

Counts

112 → 112

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	157	1824
1	356	1726
2	982	1620
3	3036	1594
done	5000	1592

prune680.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`associate-/r*` `sqrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`sqrt-div` `associate-*r/` `associate-/r/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`pow1/3`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
29.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
19.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
29.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series2.1s

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
211.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
236.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
637.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.6s

Counts

130 → 130

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	174	2353
1	390	2271
2	1103	2094
3	3670	2058
done	5000	2051

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
0.5b	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.5b	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.5b	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`associate-*r/`
18×	`cbrt-div` `sqrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
7×	`swap-sqr` `associate-r` `associate-l` `sqrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

37.0ms	(* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
15.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
26.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
22.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
257.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
249.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
257.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.8s

Counts

113 → 113

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	175	2589
1	396	2369
2	1177	2164
3	3991	1923
done	5000	1923

prune760.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes229.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	34
1	23	34
2	27	34
done	27	34

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	27522×	body	80	nan
937.0ms	9155×	body	80	valid