Details

sample63.0ms

Algorithm

intervals

Results

24.0ms	786×	body	80	nan
10.0ms	293×	body	80	valid

simplify91.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	192	10
3	437	10
4	816	10
5	1578	10
6	2764	10
7	5002	10
done	5002	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))))

rewrite145.0ms

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:

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

series501.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
176.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
140.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
71.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify85.0ms

Counts

126 → 126

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	823	1338
1	3607	1238
2	5002	1238
done	5002	1238

prune345.0ms

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`add-cube-cbrt` `associate-r`
9×	`associate-l`
8×	`associate-*r/`
6×	`flip3--` `times-frac` `flip--`
4×	`frac-times` `sqrt-div` `associate-/r*` `add-log-exp` `difference-of-squares`
3×	`distribute-rgt-in` `distribute-lft-in` `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` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

41.0ms	(* 9.0 (- a (/ 1.0 3.0)))
91.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
23.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 9.0 (- a (/ 1.0 3.0)))
117.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
187.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
71.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify78.0ms

Counts

109 → 109

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	744	1044
1	3484	958
2	5001	958
done	5001	958

prune283.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

41.0ms	(* (cbrt 9.0) (- a (/ 1.0 3.0)))
63.0ms	(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))))
64.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))
56.0ms	(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0)))))

series496.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (cbrt 9.0) (- a (/ 1.0 3.0)))
215.0ms	(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))))
119.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))
82.0ms	(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0)))))

simplify64.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	580	1181
1	2638	959
2	5001	911
done	5001	911

prune290.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite683.0ms

Algorithm

rewrite-expression-head

Rules

99×	`pow1`
70×	`pow-prod-down`
62×	`add-exp-log`
40×	`prod-exp` `cbrt-unprod`
34×	`add-cbrt-cube`
32×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-*r/`
12×	`sub-neg`
11×	`sqrt-pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3--` `times-frac` `sqrt-div` `associate-/r*` `flip--` `add-log-exp`
3×	`sqrt-prod`
2×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `associate-/r/` `*-commutative`
1×	`frac-2neg` `pow1/2` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 137

Calls

4 calls:

199.0ms	(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))))
214.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))
71.0ms	(* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))
192.0ms	(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))))
130.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0)))))
84.0ms	(* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))
87.0ms	(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (* (cbrt (cbrt 9.0)) (cbrt (cbrt 9.0))) (* (cbrt (cbrt 9.0)) (- a (/ 1.0 3.0))))))

simplify85.0ms

Counts

149 → 149

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	755	2730
1	3250	1928
2	5001	1638
done	5001	1638

prune259.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes74.0ms

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	25	22
1	25	22
done	25	22

end0.0ms

sample2.0s

Algorithm

intervals

Results

859.0ms	26697×	body	80	nan
330.0ms	9079×	body	80	valid