Details

sample67.0ms

Algorithm

intervals

Results

24.0ms	836×	body	80	nan
9.0ms	288×	body	80	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `times-frac`
24×	`add-cube-cbrt` `associate-l`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`associate-*r/` `sqrt-prod`
6×	`flip3--` `sqrt-div` `associate-r` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 122

Calls

4 calls:

49.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
62.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
16.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
44.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series528.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
186.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
143.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
76.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.6s

Counts

134 → 134

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	311	2723
1	860	2576
2	3111	2342
done	5001	2340

prune407.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.3b	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
78×	`add-cube-cbrt` `prod-diff`
60×	`times-frac`
42×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`associate-r`
9×	`associate-l`
8×	`associate-*r/`
7×	`div-inv`
6×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `sqrt-div` `associate-/r*` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`flip3-+` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `sub-neg` `sqrt-pow1` `div-exp` `associate-l/` `associate-/r/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `distribute-lft-out` `associate-/l*`

Counts

4 → 183

Calls

4 calls:

49.0ms	(* 9.0 (- a (/ 1.0 3.0)))
90.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
24.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
41.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 9.0 (- a (/ 1.0 3.0)))
132.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
202.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
74.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.7s

Counts

195 → 195

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	489	5591
1	1150	5037
2	3854	3873
done	5000	3495

prune370.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-div`
26×	`associate-*r/`
25×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
18×	`associate-r`
17×	`pow1`
16×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
15×	`*-un-lft-identity`
12×	`frac-times`
11×	`add-cube-cbrt`
8×	`associate-/r/`
7×	`pow-prod-down`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`sqrt-pow1`
2×	`cbrt-undiv` `div-exp` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 118

Calls

4 calls:

41.0ms	(* 9.0 (sqrt (- a (/ 1.0 3.0))))
71.0ms	(/ (* 1.0 rand) (sqrt (* (* 9.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
63.0ms	(sqrt (* (* 9.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
86.0ms	(* (* 9.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 9.0 (sqrt (- a (/ 1.0 3.0))))
249.0ms	(/ (* 1.0 rand) (sqrt (* (* 9.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
93.0ms	(sqrt (* (* 9.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
50.0ms	(* (* 9.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))

simplify911.0ms

Counts

130 → 130

Iterations

Useful iterations: done (906.0ms)

Iter	Nodes	Cost
0	268	2901
1	666	2166
2	2109	1935
done	5000	1931

prune383.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

188×	`times-frac` `sqrt-prod`
132×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
68×	`add-cube-cbrt`
66×	`sqrt-div`
32×	`associate-*r/`
30×	`associate-/r/`
24×	`difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
17×	`flip3--` `flip--`
16×	`associate-/r*`
15×	`div-inv`
12×	`distribute-lft-out--`
11×	`associate-/l*`
9×	`pow1` `associate-r`
7×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `sqrt-pow1` `pow-prod-down` `clear-num` `unswap-sqr`
1×	`pow1/2` `*-commutative` `associate-/l/`

Counts

4 → 234

Calls

4 calls:

14.0ms	(sqrt (* 9.0 (sqrt (- a (/ 1.0 3.0)))))
42.0ms	(* 9.0 (sqrt (- a (/ 1.0 3.0))))
24.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (sqrt (- a (/ 1.0 3.0))))))
55.0ms	(/ (/ (* 1.0 rand) (sqrt (* 9.0 (sqrt (- a (/ 1.0 3.0)))))) (sqrt (sqrt (- a (/ 1.0 3.0)))))

series757.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(sqrt (* 9.0 (sqrt (- a (/ 1.0 3.0)))))
57.0ms	(* 9.0 (sqrt (- a (/ 1.0 3.0))))
308.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (sqrt (- a (/ 1.0 3.0))))))
233.0ms	(/ (/ (* 1.0 rand) (sqrt (* 9.0 (sqrt (- a (/ 1.0 3.0)))))) (sqrt (sqrt (- a (/ 1.0 3.0)))))

simplify1.4s

Counts

246 → 246

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	522	7742
1	1305	7151
2	3962	6914
done	5000	6908

prune916.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	20	28
done	20	28

end0.0ms

sample1.9s

Algorithm

intervals

Results

798.0ms	26908×	body	80	nan
308.0ms	9060×	body	80	valid