Details

sample136.0ms

Algorithm

intervals

Results

67.0ms	946×	body	80	nan
20.0ms	295×	body	80	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2025
6	1131
5	730
4	405
3	185
2	72
1	27
0	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `times-frac`
24×	`associate-l` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
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` `clear-num` `frac-2neg` `distribute-lft-in` `pow1/2` `distribute-lft-out--`

Counts

4 → 114

Calls

4 calls:

46.0ms	(* (- 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))))
13.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
76.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

series692.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (- 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))))
204.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
258.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

simplify2.1s

Counts

126 → 126

Iterations

Iter	Nodes
done	5025
2	3330
1	857
0	303

prune859.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

43.0ms	(* (- a (/ 1.0 3.0)) 9.0)
51.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))))
11.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
19.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (- a (/ 1.0 3.0)) 9.0)
155.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))))
110.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
206.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

simplify2.0s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2690
1	729
0	263

prune773.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

112.0ms	(sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))
137.0ms	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))))
135.0ms	(* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
59.0ms	(* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0)))

series746.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))
236.0ms	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))))
171.0ms	(* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
208.0ms	(* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0)))

simplify1.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1714
1	534
0	219

prune695.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

50.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))))))
78.0ms	(sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))
70.0ms	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))
72.0ms	(* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

364.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))))))
183.0ms	(sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0)))
397.0ms	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))))
149.0ms	(* (* (- a (/ 1.0 3.0)) (sqrt 9.0)) (sqrt 9.0))

simplify2.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	3331
1	893
0	313

prune718.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes309.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	27405×	body	80	nan
765.0ms	9135×	body	80	valid