Details

sample125.0ms

Algorithm

intervals

Results

64.0ms	899×	body	80	nan
20.0ms	293×	body	80	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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

rewrite157.0ms

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-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`associate-r/` `associate-r*`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r*` `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` `frac-2neg` `pow1/2` `div-exp` `prod-exp` `clear-num` `*-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)
60.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
61.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
27.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series663.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
157.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
90.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
197.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.5s

Counts

179 → 179

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	453	7178
1	946	6698
2	2964	5557
done	5000	5038

prune500.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
0.1b	(* (fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.3b	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

209×	`add-sqr-sqrt`
156×	`times-frac`
143×	`*-un-lft-identity`
121×	`add-cube-cbrt`
78×	`prod-diff`
62×	`sqrt-prod`
41×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-r`
30×	`add-exp-log`
25×	`associate-l`
20×	`add-cbrt-cube`
16×	`difference-of-squares` `unswap-sqr`
9×	`div-exp` `prod-exp` `associate-/r*` `div-inv`
8×	`pow1` `distribute-lft-out--`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-r/` `flip--` `associate-/l`
2×	`sub-neg` `rec-exp` `1-exp` `pow-prod-down` `*-commutative`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `fma-udef`

Counts

4 → 268

Calls

4 calls:

0.0ms	(fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
70.0ms	(* (fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
26.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
100.0ms	(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series956.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0)
294.0ms	(* (fma (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
108.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
254.0ms	(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify2.8s

Counts

280 → 280

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	566	9742
1	1268	8567
2	3947	7259
done	5000	6909

prune915.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

494×	`times-frac`
404×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
272×	`add-cube-cbrt`
252×	`sqrt-prod`
78×	`prod-diff`
52×	`difference-of-squares`
41×	`distribute-rgt-in` `distribute-lft-in`
36×	`associate-/l*`
26×	`distribute-lft-out--`
16×	`sqrt-div` `associate-/r/`
15×	`associate-/r*` `div-inv`
13×	`add-exp-log` `add-cbrt-cube`
9×	`flip3--` `flip--`
6×	`pow1` `associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg` `frac-2neg` `associate-*r/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `associate-/l/` `unswap-sqr`

Counts

4 → 426

Calls

4 calls:

0.0ms	(fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0)
61.0ms	(* (fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0) (- a (/ 1.0 3.0)))
93.0ms	(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
37.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

series967.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0)
237.0ms	(* (fma (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand 1.0) (- a (/ 1.0 3.0)))
303.0ms	(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
96.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))

simplify2.3s

Counts

438 → 438

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	743	13957
1	1608	12849
2	4281	11661
done	5001	11557

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma (/ 1 (/ (sqrt 9.0) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) rand 1.0) (- a (/ 1.0 3.0)))
0.3b	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b	(/ (sqrt 9.0) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))
0.3b	(/ 1 (/ (sqrt 9.0) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))))

rewrite752.0ms

Algorithm

rewrite-expression-head

Rules

2615×	`times-frac`
1620×	`add-sqr-sqrt`
1324×	`*-un-lft-identity`
1128×	`add-cube-cbrt`
1080×	`sqrt-prod`
245×	`associate-/r*`
196×	`difference-of-squares`
98×	`distribute-lft-out--`
78×	`prod-diff`
70×	`associate-/r/`
64×	`sqrt-div`
44×	`div-inv`
41×	`distribute-rgt-in` `distribute-lft-in`
34×	`add-exp-log`
33×	`flip3--` `flip--`
22×	`add-cbrt-cube`
19×	`div-exp`
12×	`associate-/l*`
10×	`cbrt-undiv`
7×	`pow1`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
2×	`sub-neg` `associate-*r/`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 1258

Calls

4 calls:

68.0ms	(* (fma (/ 1 (/ (sqrt 9.0) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) rand 1.0) (- a (/ 1.0 3.0)))
29.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
35.0ms	(/ (sqrt 9.0) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))
76.0ms	(/ 1 (/ (sqrt 9.0) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))))

series772.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (fma (/ 1 (/ (sqrt 9.0) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))) rand 1.0) (- a (/ 1.0 3.0)))
90.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
149.0ms	(/ (sqrt 9.0) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))
250.0ms	(/ 1 (/ (sqrt 9.0) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))))

simplify2.7s

Counts

1270 → 1270

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	1483	39316
1	3268	33518
done	5001	32498

prune3.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	14	20
done	14	20

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.9s	27268×	body	80	nan
899.0ms	9112×	body	80	valid