Details

sample146.0ms

Algorithm

intervals

Results

54.0ms	875×	body	80	nan
39.0ms	301×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	72	20
3	190	20
4	459	20
5	929	20
6	1800	20
7	3828	20
done	5000	20

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

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

rewrite219.0ms

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)))
96.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
32.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
23.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series656.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
212.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
204.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
102.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify2.5s

Counts

126 → 126

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	303	2615
1	857	2480
2	4527	2306
done	5002	2304

prune577.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

64.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)))
94.0ms	(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
59.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
21.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

series765.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)))
253.0ms	(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
104.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
215.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

simplify638.0ms

Counts

130 → 130

Iterations

Useful iterations: done (632.0ms)

Iter	Nodes	Cost
0	303	2725
1	876	2547
done	5000	2337

prune629.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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))))

rewrite292.0ms

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:

29.0ms	(sqrt (- a (/ 1.0 3.0)))
127.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))))
38.0ms	(/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
90.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

series637.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (- a (/ 1.0 3.0)))
167.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))))
302.0ms	(/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
111.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

simplify2.4s

Counts

120 → 120

Iterations

Useful iterations: 2 (703.0ms)

Iter	Nodes	Cost
0	268	2481
1	797	2289
2	4458	2069
done	5000	2069

prune512.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1.0 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
0.2b	(/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
0.7b	(/ 1.0 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

144.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1.0 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
26.0ms	(/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand)
64.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
29.0ms	(/ 1.0 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand))

series840.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1.0 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
253.0ms	(/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand)
129.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
284.0ms	(/ 1.0 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand))

simplify538.0ms

Counts

150 → 150

Iterations

Useful iterations: done (530.0ms)

Iter	Nodes	Cost
0	335	3201
1	973	3005
done	5001	2805

prune647.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	23
1	21	23
done	21	23

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.0s	27313×	body	80	nan
653.0ms	9159×	body	80	valid