Details

sample143.0ms

Algorithm

intervals

Results

65.0ms	967×	body	80	nan
19.0ms	288×	body	80	valid

simplify10.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	72	20
3	188	20
4	417	20
5	772	20
6	1496	20
7	2490	20
8	3402	20
9	4724	20
done	5000	20

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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)))
0.3b	(* (/ 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))))

rewrite227.0ms

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:

64.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
101.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
33.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
24.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series744.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
256.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
215.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
103.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.9s

Counts

126 → 126

Iterations

Useful iterations: 2 (747.0ms)

Iter	Nodes	Cost
0	303	2615
1	823	2480
2	2958	2274
done	5002	2274

prune476.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

44.0ms	(* 9.0 (- a (/ 1.0 3.0)))
54.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0))))))))
19.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
16.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series530.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 9.0 (- a (/ 1.0 3.0)))
173.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0))))))))
185.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
103.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify1.9s

Counts

116 → 116

Iterations

Useful iterations: 2 (600.0ms)

Iter	Nodes	Cost
0	271	2223
1	723	2134
2	2613	1938
done	5000	1938

prune477.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.2b	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
5.7b	(* (- a (/ 1.0 3.0)) (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
16×	`add-cube-cbrt`
14×	`pow1` `times-frac`
10×	`associate-*r/`
9×	`associate-l`
7×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
5×	`flip3--` `pow-prod-down` `sqrt-prod` `flip--`
4×	`sqrt-div` `associate-/r*` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `sqrt-pow1` `div-exp` `associate-l/` `associate-/r/` `-commutative` `distribute-lft-out--`
1×	`frac-2neg` `pow1/2` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

43.0ms	(* 9.0 (- a (/ 1.0 3.0)))
31.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
23.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
233.0ms	(* (- a (/ 1.0 3.0)) (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))

series565.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 9.0 (- a (/ 1.0 3.0)))
176.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
99.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
228.0ms	(* (- a (/ 1.0 3.0)) (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))

simplify1.4s

Counts

113 → 113

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	268	1952
1	670	1878
2	2194	1666
done	5001	1647

prune424.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

795×	`times-frac`
608×	`add-sqr-sqrt`
452×	`sqrt-prod`
440×	`*-un-lft-identity`
346×	`add-cube-cbrt`
210×	`associate-l`
94×	`difference-of-squares`
47×	`distribute-lft-out--`
22×	`associate-/l*`
21×	`div-inv`
20×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `associate-/r*`
8×	`unswap-sqr`
6×	`cbrt-undiv` `flip3--` `sqrt-div` `div-exp` `associate-r` `flip--`
4×	`frac-times` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`flip3-+` `associate-*l/` `flip-+`
2×	`associate-r/` `pow-prod-down` `-commutative`
1×	`distribute-rgt-in` `rem-sqrt-square` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 525

Calls

4 calls:

23.0ms	(sqrt (- a (/ 1.0 3.0)))
67.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)))
168.0ms	(* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
57.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series791.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (- a (/ 1.0 3.0)))
233.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)))
302.0ms	(* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
206.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify2.9s

Counts

537 → 537

Iterations

Useful iterations: 2 (1.5s)

Iter	Nodes	Cost
0	638	11538
1	1667	10816
2	4950	10564
done	5000	10564

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	26
1	19	26
done	19	26

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.6s	27325×	body	80	nan
723.0ms	9148×	body	80	valid