Details

sample214.0ms

Algorithm

intervals

Results

136.0ms	809×	body	80	nan
39.0ms	289×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
7	3296
6	1984
5	1152
4	612
3	202
2	71
1	28
0	14

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.3b	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.3b	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.8b	(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
59×	`times-frac`
50×	`*-un-lft-identity`
36×	`associate-r`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
14×	`sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
10×	`distribute-lft-out--`
9×	`associate-*r/`
6×	`sqrt-div` `associate-l` `associate-/l*`
5×	`flip3--` `flip--`
4×	`associate-/r*` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `div-sub`

Counts

4 → 144

Calls

4 calls:

27.0ms	(* 9 (- a (/ 1.0 3.0)))
44.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
94.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
11.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 9 (- a (/ 1.0 3.0)))
116.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
131.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
91.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify3.2s

Counts

156 → 156

Iterations

Iter	Nodes
3	5929
2	1868
1	661
0	256

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- a (/ 1.0 3.0)) (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)))
0.0b	(sqrt (- a (/ 1.0 3.0)))
0.3b	(/ (sqrt (- a (/ 1.0 3.0))) 3)
0.3b	(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`times-frac`
30×	`sqrt-prod`
24×	`add-cube-cbrt`
20×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`pow1` `difference-of-squares`
9×	`prod-exp` `associate-/l*` `add-log-exp`
5×	`cbrt-unprod` `distribute-lft-out--`
4×	`sqrt-div` `insert-posit16`
3×	`associate-/r` `flip3--` `div-exp` `associate-l` `pow-prod-down` `associate-l/` `associate-*r/` `flip--`
2×	`cbrt-undiv` `associate-+l+` `sum-log` `1-exp` `frac-add` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `associate-r` `*-commutative` `associate-+l-` `flip-+` `div-inv`

Counts

4 → 115

Calls

4 calls:

53.0ms	(+ (- a (/ 1.0 3.0)) (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)))
15.0ms	(sqrt (- a (/ 1.0 3.0)))
34.0ms	(/ (sqrt (- a (/ 1.0 3.0))) 3)
58.0ms	(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))

series365.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (- a (/ 1.0 3.0)) (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)))
49.0ms	(sqrt (- a (/ 1.0 3.0)))
95.0ms	(/ (sqrt (- a (/ 1.0 3.0))) 3)
132.0ms	(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))

simplify2.6s

Counts

127 → 127

Iterations

Iter	Nodes
3	5041
2	1553
1	568
0	249

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- a (/ 1.0 3.0)) (* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))))
0.0b	(sqrt (- a (/ 1.0 3.0)))
0.4b	(* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
0.5b	(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

243×	`add-sqr-sqrt`
157×	`times-frac`
124×	`*-un-lft-identity`
86×	`sqrt-prod`
66×	`difference-of-squares`
60×	`associate-r`
58×	`add-cube-cbrt`
33×	`distribute-lft-out--`
18×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l`
10×	`pow1`
9×	`associate-/r*` `add-log-exp`
7×	`flip3--` `flip--`
6×	`sqrt-div` `frac-add` `associate-/l*` `unswap-sqr`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16`
3×	`frac-times` `associate-l/` `associate-r/` `div-inv`
2×	`associate-+l+` `sum-log` `sqrt-pow1` `pow1/2` `pow-div` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `*-commutative` `associate-+l-` `flip-+`

Counts

4 → 230

Calls

4 calls:

60.0ms	(+ (- a (/ 1.0 3.0)) (* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))))
8.0ms	(sqrt (- a (/ 1.0 3.0)))
77.0ms	(* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
46.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

series389.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (- a (/ 1.0 3.0)) (* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))))
63.0ms	(sqrt (- a (/ 1.0 3.0)))
127.0ms	(* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
74.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

simplify2.1s

Counts

242 → 242

Iterations

Iter	Nodes
2	3714
1	1057
0	364

prune2.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- a (/ 1.0 3.0)) (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))))
0.3b	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0)))))))
0.4b	(* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))
0.9b	(sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0)))))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
58×	`times-frac`
46×	`*-un-lft-identity`
31×	`pow1` `associate-r`
28×	`add-cube-cbrt`
23×	`add-exp-log`
18×	`difference-of-squares`
17×	`add-cbrt-cube` `pow-prod-down` `associate-*r/`
14×	`sqrt-prod`
10×	`prod-exp` `cbrt-unprod`
9×	`distribute-lft-out--`
8×	`distribute-rgt-in` `distribute-lft-in`
6×	`sqrt-div` `associate-/l*`
5×	`sqrt-pow1` `flip3--` `flip--`
4×	`associate-/r` `sub-neg` `associate-l*` `associate-/r/` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `div-sub`

Counts

4 → 152

Calls

4 calls:

75.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))))
205.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0)))))))
63.0ms	(* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))
31.0ms	(sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0)))))

series682.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))))
229.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0)))))))
195.0ms	(* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))
134.0ms	(sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0)))))

simplify764.0ms

Counts

164 → 164

Iterations

Iter	Nodes
2	2320
1	763
0	286

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	13

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.5s	27909×	body	80	nan
1.1s	9197×	body	80	valid