Details

sample107.0ms

Algorithm

intervals

Results

36.0ms	50×	body	1280	valid
25.0ms	62×	body	640	valid
10.0ms	135×	body	80	valid
10.0ms	32×	body	320	valid
6.0ms	99×	body	80	nan
2.0ms	12×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1961
5	488
4	149
3	52
2	24
1	15
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
7.7b	(log (/ x (+ x y)))

rewrite44.0ms

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` `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 → 117

Calls

3 calls:

14.0ms	(/ x (+ x y))
16.0ms	(* x (log (/ x (+ x y))))
5.0ms	(log (/ x (+ x y)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ x (+ x y))
118.0ms	(* x (log (/ x (+ x y))))
86.0ms	(log (/ x (+ x y)))

simplify865.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	1037
1	362
0	167

prune620.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.4b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune25.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
35.1b	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

rewrite47.0ms

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×	`associate-l/` `associate-r/` `add-exp-log`
8×	`div-inv`
5×	`pow1` `div-exp`
4×	`add-cbrt-cube` `rem-log-exp` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `prod-exp` `log-pow`

Counts

4 → 166

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
27.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (+ x y))
178.0ms	(cbrt (+ x y))
174.0ms	(cbrt (+ x y))
97.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

simplify1.8s

Counts

178 → 178

Iterations

Iter	Nodes
done	5001
2	2694
1	882
0	392

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize165.0ms

Local error

Found 4 expressions with local error:

4.3b	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
4.3b	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
13.1b	(log (/ (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (cbrt (+ x y)))))
31.5b	(log (/ (* (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

379×	`cbrt-prod`
220×	`times-frac`
202×	`log-prod`
170×	`cbrt-div`
131×	`*-un-lft-identity`
106×	`associate-/r/`
95×	`add-sqr-sqrt` `add-cube-cbrt`
79×	`flip3-+` `flip-+`
52×	`frac-times`
26×	`associate-l/` `associate-r/`
18×	`distribute-lft-out`
14×	`div-inv`
13×	`add-exp-log`
6×	`pow1`
5×	`rem-log-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`div-exp`
2×	`log-div` `pow1/3` `log-pow`
1×	`prod-exp`

Counts

4 → 273

Calls

4 calls:

12.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
12.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
28.0ms	(log (/ (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (cbrt (+ x y)))))
36.0ms	(log (/ (* (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

410.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
412.0ms	(cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))
127.0ms	(log (/ (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (cbrt (+ x y)))))
126.0ms	(log (/ (* (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y))))) (cbrt (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

simplify2.1s

Counts

285 → 285

Iterations

Iter	Nodes
done	5001
2	3701
1	1170
0	679

prune2.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

regimes152.0ms

Accuracy

31% (5.9b remaining)

Error of 7.0b against oracle of 1.1b and baseline of 9.7b

bsearch123.0ms

Steps

Iters	Range		Point
9	2.102189781311534e-06	1126.7541422477805	7.289916210907466

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.4s	1485×	body	1280	valid
741.0ms	1449×	body	640	valid
377.0ms	4907×	body	80	valid
244.0ms	843×	body	320	valid
172.0ms	2975×	body	80	nan
67.0ms	447×	body	160	valid