Details

sample139.0ms

Algorithm

intervals

Results

66.0ms	860×	body	80	nan
18.0ms	288×	body	80	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	76	19
3	208	19
4	547	19
5	1149	19
6	2429	19
done	5000	19

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
0.1b	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 167

Calls

4 calls:

0.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
42.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
18.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
44.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series738.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
178.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
189.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
108.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify2.1s

Counts

179 → 179

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	453	7178
1	990	6712
2	4684	5673
done	5000	5672

prune684.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`pow1` `sqrt-prod`
8×	`associate-/r` `add-cbrt-cube` `sqrt-div` `associate-r/` `add-exp-log`
6×	`associate-/l*`
4×	`expm1-log1p-u` `sqrt-pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `pow1/2` `div-exp` `pow-prod-down` `div-inv`

Counts

4 → 100

Calls

4 calls:

22.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
14.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
56.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
61.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series669.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
218.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
105.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
93.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify784.0ms

Counts

112 → 112

Iterations

Useful iterations: done (778.0ms)

Iter	Nodes	Cost
0	157	1824
1	361	1726
2	1313	1624
done	5001	1602

prune920.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
0.1b	(* (fma (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.3b	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
0.4b	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 179

Calls

4 calls:

0.0ms	(fma (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
58.0ms	(* (fma (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
26.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
39.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

series989.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(fma (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
266.0ms	(* (fma (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
298.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
115.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

simplify514.0ms

Counts

191 → 191

Iterations

Useful iterations: done (501.0ms)

Iter	Nodes	Cost
0	455	7513
1	1019	7026
done	5000	6036

prune751.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
0.1b	(* (fma (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.3b	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

326×	`add-sqr-sqrt`
252×	`times-frac`
211×	`sqrt-prod`
192×	`*-un-lft-identity`
164×	`add-cube-cbrt`
78×	`prod-diff`
66×	`associate-r`
43×	`associate-l`
41×	`distribute-rgt-in` `distribute-lft-in`
28×	`difference-of-squares`
26×	`unswap-sqr`
20×	`add-cbrt-cube` `add-exp-log`
14×	`distribute-lft-out--`
9×	`associate-/r*` `div-inv`
8×	`pow1`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-undiv` `flip3--` `associate-*r/` `flip--`
2×	`sub-neg` `pow-prod-down` `*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `sqrt-unprod` `associate-*l/` `fma-udef`

Counts

4 → 351

Calls

4 calls:

0.0ms	(fma (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
47.0ms	(* (fma (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
19.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
137.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

463.0ms	(fma (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
416.0ms	(* (fma (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
171.0ms	(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
301.0ms	(* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

simplify856.0ms

Counts

363 → 363

Iterations

Useful iterations: done (833.0ms)

Iter	Nodes	Cost
0	614	12343
1	1561	11500
done	5001	10427

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	15	20
done	15	20

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	27472×	body	80	nan
1.2s	9133×	body	80	valid