Details

sample105.0ms

Algorithm

intervals

Results

47.0ms	904×	body	80	nan
16.0ms	293×	body	80	valid

simplify88.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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

rewrite459.0ms

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:

53.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
352.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
18.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
32.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series545.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
189.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
151.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
78.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify76.0ms

Counts: 126 → 126

prune561.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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))))
8.0b	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

99.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
17.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
18.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
229.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series739.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
197.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
93.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
219.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify65.0ms

Counts: 123 → 123

prune447.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`times-frac`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`associate-*l/`
8×	`associate-*r/` `sqrt-prod`
7×	`flip3--` `associate-l` `prod-exp` `flip--` `cbrt-unprod`
6×	`sqrt-div`
5×	`pow-prod-down`
4×	`frac-times` `associate-/r*` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`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:

105.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
274.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
25.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
16.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series649.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
220.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
172.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
101.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify70.0ms

Counts: 127 → 127

prune416.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))))
0.3b	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (* (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) rand)
0.4b	(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite683.0ms

Algorithm

rewrite-expression-head

Rules

139×	`add-sqr-sqrt`
103×	`add-exp-log`
102×	`times-frac`
75×	`*-un-lft-identity`
62×	`sqrt-prod`
61×	`add-cbrt-cube`
53×	`add-cube-cbrt`
52×	`prod-exp`
37×	`associate-r`
29×	`associate-l`
28×	`cbrt-unprod`
25×	`div-exp`
22×	`associate-*l/`
20×	`pow1`
19×	`frac-times`
16×	`difference-of-squares`
15×	`unswap-sqr`
13×	`cbrt-undiv` `associate-*r/`
10×	`flip3--` `pow-prod-down` `flip--`
9×	`associate-/r*`
8×	`distribute-lft-out--`
6×	`rec-exp` `1-exp`
4×	`sqrt-div` `associate-/r/` `add-log-exp`
3×	`-commutative` `div-inv` `associate-/l`
1×	`frac-2neg` `clear-num`

Counts

4 → 231

Calls

4 calls:

165.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))))
23.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
400.0ms	(* (* (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) rand)
83.0ms	(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series856.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))))
117.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
266.0ms	(* (* (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) rand)
222.0ms	(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify123.0ms

Counts: 243 → 243

prune879.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

-6.3% (0.1b remaining)

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

bsearch0.0ms

simplify161.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	27050×	body	80	nan
1.2s	9139×	body	80	valid