Details

sample91.0ms

Algorithm

intervals

Results

33.0ms	55×	body	1280	valid
16.0ms	42×	body	640	valid
11.0ms	153×	body	80	valid
9.0ms	31×	body	320	valid
5.0ms	96×	body	80	nan
3.0ms	15×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1916
6	531
5	212
4	89
3	41
2	22
1	15
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
11.1b	(log (/ x (+ x y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`associate-/r` `flip3-+` `associate-r*` `flip-+` `div-inv`
3×	`associate-l` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

7.0ms	(/ x (+ x y))
12.0ms	(* x (log (/ x (+ x y))))
4.0ms	(log (/ x (+ x y)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ x (+ x y))
89.0ms	(* x (log (/ x (+ x y))))
54.0ms	(log (/ x (+ x y)))

simplify2.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5030
3	3902
2	806
1	357
0	170

prune543.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
5.1b	(log (/ (cbrt x) (cbrt (+ x y))))
5.1b	(log (/ (cbrt x) (cbrt (+ x y))))
5.1b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
139×	`cbrt-prod`
126×	`times-frac`
124×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`distribute-lft-out`
13×	`add-exp-log`
8×	`cbrt-div`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
1×	`pow1/3`

Counts

4 → 195

Calls

4 calls:

5.0ms	(cbrt (+ x y))
8.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
8.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
13.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series394.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ x y))
94.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
75.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
92.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify2.1s

Counts

207 → 207

Iterations

Iter	Nodes
done	5006
4	4017
3	1698
2	675
1	361
0	191

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize101.0ms

Local error

Found 4 expressions with local error:

4.9b	(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))
5.1b	(log (/ (cbrt x) (cbrt (+ x y))))
5.1b	(log (/ (cbrt x) (cbrt (+ x y))))
22.1b	(log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

280×	`cbrt-prod`
208×	`log-prod`
178×	`times-frac`
160×	`*-un-lft-identity`
118×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`cbrt-div`
21×	`distribute-lft-out`
19×	`add-exp-log`
14×	`associate-/r/`
9×	`flip3-+` `rem-log-exp` `flip-+`
8×	`pow1`
5×	`div-exp`
4×	`frac-times` `log-div` `add-cbrt-cube` `log-pow` `insert-posit16` `div-inv` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`prod-exp`

Counts

4 → 257

Calls

4 calls:

5.0ms	(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
7.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
12.0ms	(log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))
90.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
99.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
110.0ms	(log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

simplify2.2s

Counts

269 → 269

Iterations

Iter	Nodes
done	5000
3	3597
2	1325
1	802
0	469

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.3b

localize83.0ms

Local error

Found 4 expressions with local error:

4.9b	(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))
5.1b	(log (/ (cbrt x) (cbrt (+ x y))))
5.1b	(log (/ (cbrt x) (cbrt (+ x y))))
22.1b	(log (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

280×	`cbrt-prod`
208×	`log-prod`
178×	`times-frac`
160×	`*-un-lft-identity`
118×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`cbrt-div`
21×	`distribute-lft-out`
19×	`add-exp-log`
14×	`associate-/r/`
9×	`flip3-+` `rem-log-exp` `flip-+`
8×	`pow1`
5×	`div-exp`
4×	`frac-times` `log-div` `add-cbrt-cube` `log-pow` `insert-posit16` `div-inv` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`prod-exp`

Counts

4 → 257

Calls

4 calls:

7.0ms	(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))
4.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
4.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
11.0ms	(log (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))))

series370.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))
101.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
77.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
85.0ms	(log (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (+ x y))) (cbrt (cbrt (+ x y))))))

simplify2.1s

Counts

269 → 269

Iterations

Iter	Nodes
done	5002
3	3426
2	1229
1	791
0	455

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.3b

regimes113.0ms

Accuracy

38% (3.0b remaining)

Error of 4.0b against oracle of 1.0b and baseline of 5.9b

bsearch127.0ms

Steps

Iters	Range		Point
8	0.0025057527032052505	20.161952647317438	19.75641587680443

simplify10.0ms

Iterations

Iter	Nodes
done	37
1	37
0	30

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.0s	1532×	body	1280	valid
881.0ms	1435×	body	640	valid
359.0ms	4881×	body	80	valid
270.0ms	3043×	body	80	nan
255.0ms	816×	body	320	valid
74.0ms	485×	body	160	valid