Details

sample107.0ms

Algorithm

intervals

Results

54.0ms	883×	body	80	nan
16.0ms	290×	body	80	valid

simplify10.1s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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

rewrite224.0ms

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:

66.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
18.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
101.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
34.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series730.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
98.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
274.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
228.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.1s

Counts

126 → 126

Iterations

Useful iterations: 2 (737.0ms)

Iter	Nodes	Cost
0	303	2615
1	823	2480
2	2960	2274
done	5002	2274

prune512.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
10.1b	(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

13.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
101.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
20.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
312.0ms	(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

series807.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
267.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
226.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
201.0ms	(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

simplify2.0s

Counts

127 → 127

Iterations

Useful iterations: 2 (776.0ms)

Iter	Nodes	Cost
0	298	2467
1	787	2371
2	2739	2113
done	5000	2113

prune466.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
10.1b	(* (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

rewrite372.0ms

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

Counts

4 → 105

Calls

4 calls:

61.0ms	(* 9.0 (- a (/ 1.0 3.0)))
17.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
31.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
255.0ms	(* (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

series649.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* 9.0 (- a (/ 1.0 3.0)))
95.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
236.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
258.0ms	(* (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

simplify1.6s

Counts

117 → 117

Iterations

Useful iterations: 2 (502.0ms)

Iter	Nodes	Cost
0	271	2084
1	712	2006
2	2492	1794
done	5001	1794

prune436.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(sqrt (pow (* 9.0 (- a (/ 1.0 3.0))) 1))
0.2b	(/ rand (sqrt (pow (* 9.0 (- a (/ 1.0 3.0))) 1)))
10.1b	(* (* 1.0 (/ rand (sqrt (pow (* 9.0 (- a (/ 1.0 3.0))) 1)))) (- a (/ 1.0 3.0)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
26×	`times-frac`
25×	`add-cube-cbrt` `sqrt-prod`
17×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
8×	`associate-/r*`
7×	`associate-*r/`
6×	`prod-exp` `cbrt-unprod` `sqr-pow`
5×	`unpow-prod-down`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `pow-prod-down` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rem-sqrt-square` `div-exp` `*-commutative` `distribute-lft-out--`
1×	`frac-2neg` `sqrt-pow1` `pow1/2` `associate-*l/` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

43.0ms	(* 9.0 (- a (/ 1.0 3.0)))
4.0ms	(sqrt (pow (* 9.0 (- a (/ 1.0 3.0))) 1))
10.0ms	(/ rand (sqrt (pow (* 9.0 (- a (/ 1.0 3.0))) 1)))
83.0ms	(* (* 1.0 (/ rand (sqrt (pow (* 9.0 (- a (/ 1.0 3.0))) 1)))) (- a (/ 1.0 3.0)))

series665.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 9.0 (- a (/ 1.0 3.0)))
121.0ms	(sqrt (pow (* 9.0 (- a (/ 1.0 3.0))) 1))
239.0ms	(/ rand (sqrt (pow (* 9.0 (- a (/ 1.0 3.0))) 1)))
235.0ms	(* (* 1.0 (/ rand (sqrt (pow (* 9.0 (- a (/ 1.0 3.0))) 1)))) (- a (/ 1.0 3.0)))

simplify1.7s

Counts

134 → 134

Iterations

Useful iterations: 2 (483.0ms)

Iter	Nodes	Cost
0	295	2702
1	752	2294
2	2610	2073
done	5002	2073

prune491.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	16	28
1	23	26
done	23	26

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.2s	27522×	body	80	nan
920.0ms	9155×	body	80	valid