Details

sample62.0ms

Algorithm

intervals

Results

22.0ms	780×	body	80	nan
9.0ms	297×	body	80	valid

simplify101.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	76	10
2	211	10
3	530	10
4	1065	10
5	2198	10
6	3794	10
7	5001	10
done	5001	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))))

rewrite178.0ms

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)))
64.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
16.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
45.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
190.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
140.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
74.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify88.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	860	1389
1	3774	1282
2	5001	1276
done	5001	1276

prune487.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

27×	`sqrt-prod`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`associate-l`
15×	`pow1`
12×	`sqrt-div`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-*r/`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `flip3--` `sqrt-pow1` `associate-/r*` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`associate-l/` `prod-exp` `cbrt-unprod` `associate-/l`
2×	`pow1/2` `div-inv`
1×	`cbrt-undiv` `frac-times` `frac-2neg` `div-exp` `associate-r` `clear-num` `*-commutative`

Counts

4 → 106

Calls

4 calls:

17.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
211.0ms	(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand))
40.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
42.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series610.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
310.0ms	(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand))
76.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
75.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify64.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	672	1268
1	2710	1123
2	5002	1114
done	5002	1114

prune456.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b	(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) rand))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.4b	(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite493.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
94×	`times-frac`
64×	`sqrt-prod`
63×	`*-un-lft-identity`
51×	`add-cube-cbrt`
43×	`associate-l`
34×	`associate-r`
33×	`add-exp-log`
23×	`add-cbrt-cube`
18×	`sqrt-div`
15×	`unswap-sqr`
14×	`pow1`
12×	`associate-*r/`
11×	`prod-exp`
10×	`associate-*l/`
9×	`div-exp`
7×	`cbrt-unprod`
6×	`frac-times` `associate-/r/` `difference-of-squares`
5×	`cbrt-undiv` `pow-prod-down`
4×	`expm1-log1p-u` `flip3--` `associate-/r*` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-/l*` `distribute-lft-out--`
2×	`rec-exp` `sqrt-pow1` `1-exp` `*-commutative`
1×	`frac-2neg` `pow1/2` `clear-num`

Counts

4 → 191

Calls

4 calls:

16.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
346.0ms	(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) rand))
42.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
78.0ms	(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
617.0ms	(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) rand))
69.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
182.0ms	(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify44.0ms

Counts

203 → 203

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1216	2440
1	5001	2238
done	5001	2238

prune873.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

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)))))

rewrite70.0ms

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:

29.0ms	(* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
12.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series778.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
175.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
182.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
181.0ms	(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify47.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	394	1411
1	1442	1310
2	5002	1210
done	5002	1210

prune453.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10
done	17	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

800.0ms	26736×	body	80	nan
297.0ms	9127×	body	80	valid