Details

sample95.0ms

Algorithm

intervals

Results

48.0ms	838×	body	80	nan
13.0ms	295×	body	80	valid

simplify7.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	13	325
1	27	325
2	76	300
3	203	300
4	490	300
5	941	300
6	1644	300
7	2855	300
done	5001	300

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite141.0ms

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:

49.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
1.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
28.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
51.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series809.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
252.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
183.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
107.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify3.7s

Counts

179 → 179

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	453	132101
1	979	123371
2	2956	110589
done	5001	103694

prune859.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (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)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

40.0ms	(* (- a (/ 1.0 3.0)) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
0.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
20.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
70.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series808.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (- a (/ 1.0 3.0)) (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0))
251.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
230.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
116.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify2.3s

Counts

99 → 99

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	239	36463
1	579	32884
2	1930	32126
done	5000	31869

prune779.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

403×	`times-frac`
311×	`add-sqr-sqrt`
234×	`sqrt-prod`
233×	`*-un-lft-identity`
183×	`add-cube-cbrt`
50×	`difference-of-squares`
25×	`distribute-lft-out--`
22×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log` `div-inv`
9×	`associate-/r*`
7×	`pow1`
6×	`associate-l`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-r` `fma-udef` `flip--`
2×	`associate-*l/` `associate-/r/`
1×	`distribute-rgt-in` `rem-sqrt-square` `clear-num` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`

Counts

4 → 305

Calls

4 calls:

38.0ms	(sqrt (- a (/ 1.0 3.0)))
60.0ms	(* (- a (/ 1.0 3.0)) (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0))
0.0ms	(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
36.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series967.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sqrt (- a (/ 1.0 3.0)))
323.0ms	(* (- a (/ 1.0 3.0)) (fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0))
346.0ms	(fma (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand 1.0)
254.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify2.7s

Counts

317 → 317

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	494	184097
1	1149	170375
2	3083	169320
done	5003	169270

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`associate-l`
13×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`associate-r`
6×	`associate-*l/`
5×	`times-frac` `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` `fma-udef` `flip--` `associate-/l*`
2×	`cbrt-undiv` `sqrt-pow1` `pow1/2` `div-exp` `associate-/r/` `*-commutative` `distribute-lft-out--`
1×	`distribute-rgt-in` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `sqrt-unprod` `div-inv`

Counts

4 → 99

Calls

4 calls:

59.0ms	(* (- a (/ 1.0 3.0)) (fma (/ 1.0 (* (sqrt (- a (/ 1.0 3.0))) (sqrt 9.0))) rand 1.0))
0.0ms	(fma (/ 1.0 (* (sqrt (- a (/ 1.0 3.0))) (sqrt 9.0))) rand 1.0)
21.0ms	(/ 1.0 (* (sqrt (- a (/ 1.0 3.0))) (sqrt 9.0)))
57.0ms	(* (sqrt (- a (/ 1.0 3.0))) (sqrt 9.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (- a (/ 1.0 3.0)) (fma (/ 1.0 (* (sqrt (- a (/ 1.0 3.0))) (sqrt 9.0))) rand 1.0))
333.0ms	(fma (/ 1.0 (* (sqrt (- a (/ 1.0 3.0))) (sqrt 9.0))) rand 1.0)
263.0ms	(/ 1.0 (* (sqrt (- a (/ 1.0 3.0))) (sqrt 9.0)))
115.0ms	(* (sqrt (- a (/ 1.0 3.0))) (sqrt 9.0))

simplify2.4s

Counts

111 → 111

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	240	41731
1	603	38090
2	1987	37373
done	5000	37210

prune813.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	340
1	14	340
done	14	340

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.7s	27027×	body	80	nan
1.1s	9115×	body	80	valid