Details

sample93.0ms

Algorithm

intervals

Results

23.0ms	32×	body	1280	valid
19.0ms	197×	body	80	valid
15.0ms	34×	body	640	valid
6.0ms	21×	body	320	valid
5.0ms	77×	body	80	nan
1.0ms	8×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1983
5	483
4	150
3	54
2	27
1	18
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ y z)) y) y))
0.0b	(/ y (+ y z))
6.7b	(pow (/ y (+ y z)) y)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
8×	`add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`pow-unpow` `flip3-+` `flip-+` `associate-/l*`
2×	`div-exp` `pow-exp` `div-inv`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `pow-pow` `frac-2neg` `sqr-pow`

Counts

3 → 78

Calls

3 calls:

67.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
10.0ms	(/ y (+ y z))
21.0ms	(pow (/ y (+ y z)) y)

series526.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
69.0ms	(/ y (+ y z))
335.0ms	(pow (/ y (+ y z)) y)

simplify838.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1812
1	494
0	158

prune402.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.8b	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
12×	`pow1`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-pow`
5×	`pow-exp`
4×	`add-cbrt-cube` `div-exp` `prod-exp` `add-log-exp`
3×	`pow-unpow` `pow1/3`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
30.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt y)
272.0ms	(cbrt y)
287.0ms	(cbrt y)
390.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

simplify1.7s

Counts

69 → 69

Iterations

Iter	Nodes
done	5003
3	3414
2	782
1	241
0	93

prune441.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt y)
0.6b	(cbrt y)
2.5b	(log (/ (cbrt y) (cbrt (+ y z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
48×	`log-prod` `*-un-lft-identity`
42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log` `distribute-lft-out`
5×	`pow1`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `rem-log-exp` `associate-/r/` `flip-+`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt (+ y z))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(log (/ (cbrt y) (cbrt (+ y z))))

series805.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (+ y z))
285.0ms	(cbrt y)
241.0ms	(cbrt y)
86.0ms	(log (/ (cbrt y) (cbrt (+ y z))))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	4325
2	1040
1	368
0	192

prune871.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (pow (/ y (+ y z)) y) y)))
6.7b	(pow (/ y (+ y z)) y)
6.7b	(pow (/ y (+ y z)) y)
6.7b	(pow (/ y (+ y z)) y)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
52×	`*-un-lft-identity`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
10×	`distribute-lft-out`
9×	`pow-unpow`
7×	`pow1`
6×	`pow-exp` `associate-/r/`
4×	`cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 113

Calls

4 calls:

88.0ms	(cbrt (+ x (/ (pow (/ y (+ y z)) y) y)))
21.0ms	(pow (/ y (+ y z)) y)
21.0ms	(pow (/ y (+ y z)) y)
28.0ms	(pow (/ y (+ y z)) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

363.0ms	(cbrt (+ x (/ (pow (/ y (+ y z)) y) y)))
370.0ms	(pow (/ y (+ y z)) y)
377.0ms	(pow (/ y (+ y z)) y)
333.0ms	(pow (/ y (+ y z)) y)

simplify894.0ms

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	1712
1	518
0	176

prune774.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes241.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample3.2s

Algorithm

intervals

Results

625.0ms	785×	body	1280	valid
584.0ms	2942×	body	80	nan
574.0ms	6430×	body	80	valid
562.0ms	973×	body	640	valid
168.0ms	571×	body	320	valid
98.0ms	317×	body	160	valid