Details

sample72.0ms

Algorithm

intervals

Results

30.0ms	894×	body	80	nan
11.0ms	286×	body	80	valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	70	20
3	172	20
4	352	20
5	667	20
6	1102	20
7	1851	20
8	3925	20
done	5000	20

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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

rewrite85.0ms

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×	`frac-times` `associate-/r*` `associate-/r/` `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 → 114

Calls

4 calls:

28.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
9.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
36.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
79.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
196.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
153.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.1s

Counts

126 → 126

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	303	2615
1	822	2480
2	2976	2274
done	5001	2268

prune372.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-sqr-sqrt`
175×	`sqrt-prod`
162×	`times-frac`
125×	`*-un-lft-identity`
106×	`associate-l`
97×	`add-cube-cbrt`
34×	`add-exp-log` `add-cbrt-cube`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
13×	`pow1` `prod-exp` `cbrt-unprod`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp` `associate-r`
6×	`associate-l/` `associate-/l` `unswap-sqr`
5×	`frac-times` `flip3--` `pow-prod-down` `flip--`
4×	`sqrt-div` `associate-/r/` `add-log-exp`
3×	`flip3-+` `associate-r/` `-commutative` `flip-+` `div-inv`
1×	`distribute-rgt-in` `sqrt-undiv` `frac-2neg` `distribute-lft-in` `clear-num`

Counts

4 → 263

Calls

4 calls:

30.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
48.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
14.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
261.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

series952.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
219.0ms	(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
104.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
362.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

simplify1.6s

Counts

275 → 275

Iterations

Useful iterations: 2 (807.0ms)

Iter	Nodes	Cost
0	436	5863
1	1189	5477
2	4724	4811
done	5000	4811

prune796.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))))
0.2b	(/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
0.3b	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`*-un-lft-identity` `sqrt-prod`
13×	`associate-r`
12×	`associate-l`
11×	`pow1` `add-cube-cbrt`
6×	`flip3--` `sqrt-div` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `difference-of-squares`
5×	`unswap-sqr`
4×	`cbrt-undiv` `frac-times` `times-frac` `div-exp` `pow-prod-down` `add-log-exp`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out--`
2×	`associate-l/` `associate-/r/` `-commutative`
1×	`distribute-rgt-in` `rem-sqrt-square` `frac-2neg` `distribute-lft-in` `sqrt-unprod` `clear-num` `associate-/r` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 108

Calls

4 calls:

10.0ms	(sqrt (- a (/ 1.0 3.0)))
49.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))))
12.0ms	(/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
27.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

series540.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (- a (/ 1.0 3.0)))
158.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))))
246.0ms	(/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
91.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

simplify1.1s

Counts

120 → 120

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	268	2481
1	772	2277
2	3506	2069
done	5000	2063

prune327.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- a (/ 1.0 3.0))
0.0b	(- a (/ 1.0 3.0))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 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))))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

164×	`times-frac`
130×	`add-sqr-sqrt`
96×	`sqrt-prod`
88×	`*-un-lft-identity`
58×	`add-cube-cbrt`
28×	`difference-of-squares`
15×	`add-exp-log` `add-cbrt-cube`
14×	`distribute-lft-out--`
11×	`div-inv`
10×	`associate-/l*`
9×	`associate-/r*`
8×	`add-log-exp`
6×	`pow1` `flip3--` `associate-l` `flip--`
5×	`cbrt-undiv` `div-exp`
4×	`frac-times` `associate-r`
3×	`flip3-+` `flip-+`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-r/` `associate-l/` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

4 → 190

Calls

4 calls:

6.0ms	(- a (/ 1.0 3.0))
6.0ms	(- a (/ 1.0 3.0))
210.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
19.0ms	(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- a (/ 1.0 3.0))
29.0ms	(- a (/ 1.0 3.0))
154.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
247.0ms	(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify1.1s

Counts

202 → 202

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	349	4664
1	940	4304
2	3321	4130
done	5001	4108

prune494.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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	14	21
1	18	21
done	18	21

end0.0ms

sample1.9s

Algorithm

intervals

Results

920.0ms	27187×	body	80	nan
346.0ms	9111×	body	80	valid