Details

sample148.0ms

Algorithm

intervals

Results

63.0ms	815×	body	80	nan
25.0ms	288×	body	80	valid

simplify11.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2903
6	1655
5	944
4	489
3	203
2	76
1	27
0	13

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

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)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
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)))))

rewrite377.0ms

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×	`expm1-log1p-u` `frac-times` `associate-/r*` `associate-/r/` `log1p-expm1-u` `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 → 122

Calls

4 calls:

106.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
89.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
136.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
35.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
179.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
325.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
281.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify4.2s

Counts

134 → 134

Iterations

Iter	Nodes
done	5005
2	3555
1	895
0	311

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite405.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
80×	`times-frac`
78×	`prod-diff`
41×	`distribute-rgt-in` `distribute-lft-in`
21×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`associate-r`
8×	`associate-*r/` `sqrt-prod` `div-inv`
6×	`flip3--` `sqrt-div` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `sqrt-pow1` `div-exp` `*-commutative` `difference-of-squares`
1×	`frac-2neg` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 202

Calls

4 calls:

121.0ms	(* (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (- a (/ 1.0 3.0)))
86.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
143.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
33.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series927.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)) (- a (/ 1.0 3.0)))
138.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
303.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
274.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify3.4s

Counts

214 → 214

Iterations

Iter	Nodes
done	5000
1	1677
0	524

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
83×	`add-cube-cbrt`
78×	`prod-diff`
62×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r` `associate-l`
13×	`sqrt-prod`
12×	`pow1`
8×	`associate-*r/` `div-inv`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `sqrt-div` `flip--` `unswap-sqr`
5×	`pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`flip3-+` `associate-l/` `-commutative` `flip-+` `associate-/l*`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `distribute-lft-out--`
1×	`frac-2neg` `sqrt-unprod` `clear-num` `associate-/r*`

Counts

4 → 206

Calls

4 calls:

108.0ms	(* (+ 1.0 (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)) (- a (/ 1.0 3.0)))
129.0ms	(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
29.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
100.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (+ 1.0 (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)) (- a (/ 1.0 3.0)))
440.0ms	(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
367.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
177.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

simplify3.5s

Counts

218 → 218

Iterations

Iter	Nodes
done	5001
1	1669
0	524

prune2.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(fma rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b	(/ (- a (/ 1.0 3.0)) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
86×	`add-cube-cbrt`
84×	`times-frac`
78×	`prod-diff`
41×	`distribute-rgt-in` `distribute-lft-in`
12×	`difference-of-squares`
9×	`pow1`
8×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
7×	`div-inv`
6×	`associate-r/` `associate-r` `associate-/l` `distribute-lft-out--`
4×	`expm1-log1p-u` `flip3--` `sqrt-div` `associate-/r*` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg` `sqrt-pow1` `pow-prod-down` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-sub` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 185

Calls

4 calls:

104.0ms	(* 9.0 (- a (/ 1.0 3.0)))
1.0ms	(fma rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
90.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
111.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series611.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* 9.0 (- a (/ 1.0 3.0)))
167.0ms	(fma rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
159.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
196.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify3.5s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
2	2721
1	1032
0	449

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes352.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.8s	27203×	body	80	nan
1.1s	9111×	body	80	valid