Details

sample74.0ms

Algorithm

intervals

Results

25.0ms	50×	body	1280	valid
14.0ms	50×	body	640	valid
7.0ms	141×	body	80	valid
7.0ms	38×	body	320	valid
4.0ms	94×	body	80	nan
2.0ms	13×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
7.2b	(pow (/ x (+ x y)) x)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

19.0ms	(/ x (+ x y))
77.0ms	(/ (pow (/ x (+ x y)) x) x)
23.0ms	(pow (/ x (+ x y)) x)

series541.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ x (+ x y))
148.0ms	(/ (pow (/ x (+ x y)) x) x)
335.0ms	(pow (/ x (+ x y)) x)

simplify1.0s

Counts: 181 → 181

prune549.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
1.1b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
1.6b	(pow (/ (cbrt x) (cbrt (+ x y))) x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
53×	`cbrt-prod`
52×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`pow-exp`
6×	`pow1` `pow-unpow`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 122

Calls

4 calls:

4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
38.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
20.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (+ x y))
170.0ms	(cbrt (+ x y))
351.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
344.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

simplify1.1s

Counts: 134 → 134

prune617.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
1.6b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.6b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.6b	(pow (/ (cbrt x) (cbrt (+ x y))) x)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

144×	`unpow-prod-down`
139×	`cbrt-prod`
127×	`*-un-lft-identity`
126×	`times-frac`
89×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`distribute-lft-out`
13×	`add-exp-log`
9×	`pow-unpow`
8×	`cbrt-div`
7×	`pow1`
6×	`pow-exp` `associate-/r/`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 203

Calls

4 calls:

4.0ms	(cbrt (+ x y))
19.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
25.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
20.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (+ x y))
288.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
351.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
356.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

simplify747.0ms

Counts: 215 → 215

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
1.1b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (pow (cbrt (+ x y)) 1))) x)
1.6b	(pow (/ (cbrt x) (cbrt (+ x y))) x)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

8.0ms	(cbrt (+ x y))
12.0ms	(cbrt (+ x y))
69.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (pow (cbrt (+ x y)) 1))) x)
40.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (+ x y))
160.0ms	(cbrt (+ x y))
414.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (pow (cbrt (+ x y)) 1))) x)
374.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

simplify993.0ms

Counts: 132 → 132

prune671.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes84.0ms

Accuracy

97% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 5.8b

bsearch164.0ms

Steps

Iters	Range		Point
6	0.1320695871758506	0.8658429469844214	0.855393223560351
10	-9.198946175199242e+87	-1.1395318140820832e+77	-2.586278741066603e+77

simplify1.6s

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	1525×	body	1280	valid
656.0ms	1503×	body	640	valid
485.0ms	4818×	body	80	valid
364.0ms	883×	body	320	valid
171.0ms	3010×	body	80	nan
111.0ms	409×	body	160	valid