Details

sample67.0ms

Algorithm

intervals

Results

27.0ms	907×	body	80	nan
10.0ms	302×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	74	19
3	192	19
4	448	19
5	888	19
6	1616	19
7	2761	19
done	5001	19

prune5.0ms

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))))

rewrite106.0ms

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:

27.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
36.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
8.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
30.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series522.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
183.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
145.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
74.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.1s

Counts

134 → 134

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	311	2723
1	871	2576
2	3677	2342
done	5000	2337

prune400.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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))))
7.4b	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

35.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
8.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
32.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
105.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series566.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
146.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
74.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
161.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify887.0ms

Counts

131 → 131

Iterations

Useful iterations: done (883.0ms)

Iter	Nodes	Cost
0	299	2457
1	793	2356
2	3123	2097
done	5000	2089

prune386.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`times-frac`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`associate-*l/`
8×	`associate-*r/` `sqrt-prod`
7×	`flip3--` `associate-l` `prod-exp` `flip--` `cbrt-unprod`
6×	`sqrt-div`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `frac-times` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`sqrt-pow1` `*-commutative` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 123

Calls

4 calls:

106.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
9.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
51.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
30.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
148.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
126.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
75.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify987.0ms

Counts

135 → 135

Iterations

Useful iterations: done (983.0ms)

Iter	Nodes	Cost
0	295	2683
1	767	2572
2	3290	2287
done	5000	2279

prune386.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

209×	`add-sqr-sqrt`
158×	`times-frac`
119×	`*-un-lft-identity`
87×	`sqrt-prod`
79×	`add-cube-cbrt`
41×	`associate-l`
40×	`difference-of-squares`
38×	`add-exp-log` `add-cbrt-cube`
36×	`associate-r`
20×	`distribute-lft-out--`
15×	`associate-/r*`
13×	`prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*` `unswap-sqr`
5×	`associate-*l/`
4×	`expm1-log1p-u` `sqrt-div` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-times` `frac-2neg` `associate-r/` `clear-num` `-commutative` `associate-/l/`
1×	`div-sub`

Counts

4 → 253

Calls

4 calls:

25.0ms	(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
75.0ms	(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
13.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
77.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
192.0ms	(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
80.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
168.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify1.5s

Counts

265 → 265

Iterations

Useful iterations: 2 (349.0ms)

Iter	Nodes	Cost
0	404	5320
1	1123	5075
2	4637	4599
done	5000	4599

prune644.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes77.0ms

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	27
1	19	27
done	19	27

end0.0ms

sample1.7s

Algorithm

intervals

Results

833.0ms	27466×	body	80	nan
309.0ms	9173×	body	80	valid