Details

sample150.0ms

Algorithm

intervals

Results

80.0ms	959×	body	80	nan
21.0ms	295×	body	80	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	13	325
1	27	325
2	76	300
3	208	300
4	547	300
5	1149	300
6	2429	300
done	5000	300

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

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-cbrt-cube` `add-exp-log`
7×	`div-inv`
6×	`associate-r` `associate-*r/`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-div` `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` `clear-num` `frac-2neg` `pow1/2` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

54.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
17.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
63.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
224.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
154.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
95.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify3.2s

Counts

179 → 179

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	453	132101
1	991	123085
2	4523	109619
done	5000	109554

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

15.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
16.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
67.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
78.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series673.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
241.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
97.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
87.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.4s

Counts

112 → 112

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	157	40912
1	361	35000
2	1313	34224
done	5001	33856

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

80×	`sqrt-pow1`
70×	`pow1`
30×	`sqrt-div`
29×	`sqrt-prod`
25×	`pow-prod-down`
24×	`add-sqr-sqrt`
21×	`pow1/2`
20×	`associate-*r/`
14×	`pow-prod-up`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`flip3--` `swap-sqr` `flip--`
8×	`pow-sqr`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

53.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
38.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
60.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
120.0ms	(* (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

series402.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
105.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
96.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
107.0ms	(* (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

simplify1.7s

Counts

138 → 138

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	148	44957
1	337	32689
2	1498	31705
done	5001	31565

prune974.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

25.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
36.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
66.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
48.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series548.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
99.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
115.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
106.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.3s

Counts

92 → 92

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	157	31964
1	361	26374
2	1313	25694
done	5001	25350

prune865.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes359.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	420
1	23	420
2	27	420
3	28	420
done	28	420

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.4s	26968×	body	80	nan
1.2s	9189×	body	80	valid