Details

sample130.0ms

Algorithm

intervals

Results

60.0ms	875×	body	80	nan
19.0ms	301×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	76	19
3	208	19
4	553	19
5	1150	19
6	2491	19
done	5000	19

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

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))))

rewrite255.0ms

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:

62.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
102.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
36.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
49.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series551.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
196.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
150.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
74.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify3.2s

Counts

134 → 134

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	311	2723
1	894	2576
2	4710	2372
done	5000	2372

prune714.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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)))))

rewrite324.0ms

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` `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×	`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 → 126

Calls

4 calls:

79.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)))
131.0ms	(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
83.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
21.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

series953.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)))
320.0ms	(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
130.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
282.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

simplify636.0ms

Counts

138 → 138

Iterations

Useful iterations: done (631.0ms)

Iter	Nodes	Cost
0	311	2841
1	916	2652
done	5000	2393

prune676.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `sqrt-prod`
13×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
12×	`associate-r` `associate-l`
11×	`pow1`
6×	`flip3--` `times-frac` `sqrt-div` `associate-*r/` `flip--` `difference-of-squares`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `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`

Counts

4 → 115

Calls

4 calls:

27.0ms	(sqrt (- a (/ 1.0 3.0)))
69.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))))
41.0ms	(/ rand (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
82.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

series656.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (- a (/ 1.0 3.0)))
184.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))))
285.0ms	(/ rand (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
146.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

simplify2.1s

Counts

127 → 127

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	272	2468
1	777	2323
2	3813	2085
done	5001	2081

prune607.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ 1 (/ (* (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 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-exp-log`
32×	`*-un-lft-identity`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube`
14×	`div-exp`
13×	`sqrt-prod`
12×	`associate-r` `associate-l`
11×	`pow1`
10×	`associate-/r*`
7×	`cbrt-undiv`
6×	`associate-*r/` `prod-exp` `div-inv`
5×	`flip3--` `flip--` `unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `sqrt-div` `pow-prod-down` `cbrt-unprod` `log1p-expm1-u` `associate-/l*` `add-log-exp` `difference-of-squares`
3×	`rec-exp` `flip3-+` `1-exp` `flip-+`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `associate-l/` `clear-num` `-commutative` `associate-/l/` `distribute-lft-out--`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `sqrt-unprod` `associate-/r/` `inv-pow`

Counts

4 → 153

Calls

4 calls:

64.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand)))))
42.0ms	(/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand)
93.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
58.0ms	(/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand))

series871.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand)))))
224.0ms	(/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand)
128.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
285.0ms	(/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) rand))

simplify718.0ms

Counts

165 → 165

Iterations

Useful iterations: done (710.0ms)

Iter	Nodes	Cost
0	344	3495
1	1009	3221
done	5000	2908

prune752.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	27
1	19	27
done	19	27

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.8s	27313×	body	80	nan
769.0ms	9159×	body	80	valid