Details

sample93.0ms

Algorithm

intervals

Results

32.0ms	53×	body	1280	valid
21.0ms	56×	body	640	valid
10.0ms	156×	body	80	valid
4.0ms	90×	body	80	nan
4.0ms	18×	body	320	valid
2.0ms	11×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
8.3b	(log (/ x (+ x y)))

rewrite92.0ms

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×	`flip3-+` `associate-r` `associate-/r*` `flip-+` `div-inv`
3×	`associate-l` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

17.0ms	(/ x (+ x y))
57.0ms	(* x (log (/ x (+ x y))))
11.0ms	(log (/ x (+ x y)))

series258.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ x (+ x y))
123.0ms	(* x (log (/ x (+ x y))))
89.0ms	(log (/ x (+ x y)))

simplify1.6s

Counts: 126 → 126

prune377.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.0b	(log (/ (cbrt x) (cbrt (+ x y))))
2.0b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
18.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series849.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt x)
335.0ms	(cbrt x)
84.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
106.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify1.1s

Counts: 152 → 152

prune867.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
33.3b	(log (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
10×	`pow1`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`prod-exp`
5×	`rem-log-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `log-pow`
2×	`div-exp`
1×	`log-div` `log-prod` `associate-*r/`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
73.0ms	(log (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y))))

series937.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt x)
310.0ms	(cbrt x)
217.0ms	(cbrt x)
123.0ms	(log (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y))))

simplify488.0ms

Counts: 62 → 62

prune308.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
32.1b	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`log-prod`
92×	`cbrt-div`
88×	`*-un-lft-identity`
72×	`cbrt-prod`
58×	`associate-/r/`
52×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`distribute-lft-out`
14×	`add-exp-log` `associate-r/` `associate-l/`
8×	`div-inv`
5×	`pow1` `div-exp`
4×	`rem-log-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `prod-exp` `log-pow`

Counts

4 → 166

Calls

4 calls:

16.0ms	(cbrt (+ x y))
9.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
36.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

series633.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (+ x y))
155.0ms	(cbrt (+ x y))
193.0ms	(cbrt (+ x y))
122.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

simplify863.0ms

Counts: 178 → 178

prune873.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

regimes91.0ms

Accuracy

18.9% (4.0b remaining)

Error of 5.0b against oracle of 1.1b and baseline of 6.0b

bsearch147.0ms

Steps

Iters	Range		Point
7	2.6261673048729477e+120	2.2644946018622366e+122	2.946589273213929e+120
10	0.00022203787651014825	222475944619.28085	203.2754817400328

simplify949.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	1425×	body	640	valid
1.0s	1615×	body	1280	valid
417.0ms	4779×	body	80	valid
252.0ms	842×	body	320	valid
190.0ms	3062×	body	80	nan
70.0ms	449×	body	160	valid