Details

sample87.0ms

Algorithm

intervals

Results

36.0ms	838×	body	80	nan
14.0ms	292×	body	80	valid

simplify91.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 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)))))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite204.0ms

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:

56.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
95.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
26.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
19.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
233.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
180.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
130.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify88.0ms

Counts: 126 → 126

prune464.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.0b	(* (- 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)))))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite232.0ms

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:

42.0ms	(* 9.0 (- a (/ 1.0 3.0)))
135.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
33.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
20.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series587.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* 9.0 (- a (/ 1.0 3.0)))
166.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
281.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
82.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify69.0ms

Counts: 109 → 109

prune362.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
0.5b	(* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
0.6b	(sqrt (* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))

rewrite511.0ms

Algorithm

rewrite-expression-head

Rules

123×	`pow1`
76×	`pow-prod-down`
60×	`sqrt-pow1`
38×	`add-sqr-sqrt`
37×	`pow1/2`
36×	`sqrt-div`
32×	`associate-*r/`
27×	`sqrt-prod`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`*-un-lft-identity` `pow-prod-up`
14×	`flip3--` `flip--`
13×	`associate-l`
12×	`add-cube-cbrt` `pow-sqr`
10×	`prod-exp` `cbrt-unprod`
8×	`frac-times` `unswap-sqr`
7×	`sqrt-unprod`
4×	`pow-plus` `associate-*l/` `add-log-exp` `difference-of-squares`
3×	`*-commutative`
2×	`pow2` `times-frac` `distribute-lft-out--`
1×	`rem-sqrt-square` `swap-sqr` `rem-square-sqrt`

Counts

4 → 164

Calls

4 calls:

75.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
70.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
188.0ms	(* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
162.0ms	(sqrt (* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
127.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
132.0ms	(* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
130.0ms	(sqrt (* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))

simplify48.0ms

Counts: 176 → 176

prune527.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt 9.0)) (* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))
0.4b	(* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
0.5b	(* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt (sqrt 9.0)) (* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
0.6b	(sqrt (* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt (sqrt 9.0)) (* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))))

rewrite783.0ms

Algorithm

rewrite-expression-head

Rules

69×	`pow1`
56×	`pow-prod-down`
46×	`associate-*r/`
36×	`sqrt-div`
34×	`sqrt-prod`
32×	`add-exp-log` `add-cbrt-cube`
29×	`add-sqr-sqrt`
24×	`sqrt-pow1`
19×	`associate-l` `prod-exp` `cbrt-unprod`
16×	`pow1/2`
14×	`flip3--` `*-un-lft-identity` `flip--`
12×	`add-cube-cbrt`
11×	`associate-r`
8×	`frac-times`
7×	`sqrt-unprod`
6×	`unswap-sqr`
4×	`associate-*l/` `add-log-exp`
3×	`*-commutative`
2×	`difference-of-squares`
1×	`times-frac` `distribute-lft-out--`

Counts

4 → 134

Calls

4 calls:

102.0ms	(* (sqrt (sqrt 9.0)) (* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))
68.0ms	(* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
309.0ms	(* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt (sqrt 9.0)) (* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
293.0ms	(sqrt (* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt (sqrt 9.0)) (* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (sqrt (sqrt 9.0)) (* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))
149.0ms	(* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
139.0ms	(* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt (sqrt 9.0)) (* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
118.0ms	(sqrt (* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt (sqrt 9.0)) (* (sqrt (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))))

simplify80.0ms

Counts: 146 → 146

prune516.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify111.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.6s	27510×	body	80	nan
599.0ms	9104×	body	80	valid