Details

sample128.0ms

Algorithm

intervals

Results

65.0ms	883×	body	80	nan
16.0ms	290×	body	80	valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	76	19
3	206	19
4	503	19
5	992	19
6	2080	19
7	3449	19
done	5000	19

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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

rewrite257.0ms

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:

83.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
52.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
100.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
17.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series900.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
133.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
328.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
250.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.5s

Counts

134 → 134

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	311	2723
1	860	2576
2	3117	2342
done	5000	2340

prune722.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.2b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
10.1b	(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

rewrite563.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
93×	`*-un-lft-identity`
91×	`add-cube-cbrt`
80×	`times-frac`
78×	`prod-diff`
41×	`distribute-rgt-in` `distribute-lft-in`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
14×	`pow1`
9×	`associate-r`
8×	`associate-*r/` `sqrt-prod` `div-inv`
7×	`prod-exp` `cbrt-unprod`
6×	`sqrt-div`
5×	`flip3--` `pow-prod-down` `associate-*l/` `flip--`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`frac-times` `sub-neg` `sqrt-pow1` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 201

Calls

4 calls:

68.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
80.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
21.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
370.0ms	(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

series925.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
307.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
245.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
261.0ms	(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

simplify3.0s

Counts

213 → 213

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	518	7655
1	1363	7130
2	4474	5893
done	5000	5888

prune719.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
10.1b	(* (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

rewrite496.0ms

Algorithm

rewrite-expression-head

Rules

164×	`add-sqr-sqrt`
156×	`*-un-lft-identity` `prod-diff`
152×	`add-cube-cbrt`
122×	`times-frac`
82×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
13×	`div-inv`
12×	`associate-r`
11×	`associate-*r/`
6×	`prod-exp` `cbrt-unprod`
5×	`flip3--` `pow-prod-down` `sqrt-prod` `flip--`
4×	`expm1-log1p-u` `sub-neg` `sqrt-div` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `sqrt-pow1` `div-exp` `associate-/r/` `*-commutative` `distribute-lft-out--`
1×	`frac-2neg` `pow1/2` `associate-*l/` `clear-num` `unswap-sqr`

Counts

4 → 269

Calls

4 calls:

87.0ms	(* 9.0 (- a (/ 1.0 3.0)))
62.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
24.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
288.0ms	(* (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* 9.0 (- a (/ 1.0 3.0)))
117.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
207.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
275.0ms	(* (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (- a (/ 1.0 3.0)))

simplify3.0s

Counts

281 → 281

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	599	10630
1	1394	9706
2	4331	7537
done	5000	7533

prune735.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(/ rand (* 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
10.1b	(* (* 1.0 (/ rand (* 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (- a (/ 1.0 3.0)))

rewrite789.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-sqr-sqrt`
156×	`prod-diff`
149×	`*-un-lft-identity`
145×	`add-cube-cbrt`
113×	`times-frac`
82×	`distribute-rgt-in` `distribute-lft-in`
31×	`add-exp-log`
25×	`add-cbrt-cube`
14×	`pow1` `prod-exp`
13×	`associate-*r/` `div-inv`
12×	`associate-r`
10×	`cbrt-unprod`
6×	`div-exp`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `sqrt-div` `associate-l` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`frac-times` `sqrt-pow1` `1-exp` `associate-/r/` `*-commutative` `distribute-lft-out--`
1×	`frac-2neg` `pow1/2` `associate-l/` `clear-num` `associate-/r` `sqrt-prod` `unswap-sqr`

Counts

4 → 263

Calls

4 calls:

73.0ms	(* 9.0 (- a (/ 1.0 3.0)))
59.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
53.0ms	(/ rand (* 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
576.0ms	(* (* 1.0 (/ rand (* 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (- a (/ 1.0 3.0)))

series672.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* 9.0 (- a (/ 1.0 3.0)))
115.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
190.0ms	(/ rand (* 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
291.0ms	(* (* 1.0 (/ rand (* 1 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) (- a (/ 1.0 3.0)))

simplify2.8s

Counts

275 → 275

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	604	11003
1	1411	9579
2	4434	7374
done	5000	7370

prune934.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	28
1	24	26
done	24	26

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.5s	27522×	body	80	nan
825.0ms	9155×	body	80	valid