Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	238×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	4×	body	640	valid
0.0ms	4×	body	160	valid

simplify8.0ms

Counts: 1 → 1

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x y) y) x)
0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b	(+ (+ x y) y)

rewrite3.2s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

157.0ms	(+ (+ (+ x y) y) x)
3.0s	(+ (+ (+ (+ (+ x y) y) x) z) x)
44.0ms	(+ (+ x y) y)

series106.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ (+ x y) y) x)
27.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
35.0ms	(+ (+ x y) y)

simplify39.0ms

Counts: 62 → 62

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
0.5b	(cbrt (+ (+ (+ x y) y) x))
0.5b	(cbrt (+ (+ (+ x y) y) x))
0.5b	(cbrt (+ (+ (+ x y) y) x))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

871.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
119.0ms	(cbrt (+ (+ (+ x y) y) x))
101.0ms	(cbrt (+ (+ (+ x y) y) x))
120.0ms	(cbrt (+ (+ (+ x y) y) x))

series1.3s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
319.0ms	(cbrt (+ (+ (+ x y) y) x))
318.0ms	(cbrt (+ (+ (+ x y) y) x))
327.0ms	(cbrt (+ (+ (+ x y) y) x))

simplify127.0ms

Counts: 129 → 129

prune545.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ x y) y) x))
0.5b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (cbrt (+ (+ (+ x y) y) x)))
0.6b	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))

rewrite468.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
28×	`cbrt-prod` `cbrt-div`
18×	`distribute-lft-out`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 68

Calls

4 calls:

100.0ms	(cbrt (+ (+ (+ x y) y) x))
86.0ms	(cbrt (+ (+ (+ x y) y) x))
85.0ms	(cbrt (cbrt (+ (+ (+ x y) y) x)))
193.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))

series1.6s

Counts

4 → 12

Calls

4 calls:

357.0ms	(cbrt (+ (+ (+ x y) y) x))
336.0ms	(cbrt (+ (+ (+ x y) y) x))
409.0ms	(cbrt (cbrt (+ (+ (+ x y) y) x)))
475.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))

simplify73.0ms

Counts: 80 → 80

prune479.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))
0.6b	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))
0.6b	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))

rewrite661.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3-+` `flip-+`
14×	`*-un-lft-identity`
12×	`frac-times`
9×	`cbrt-prod`
6×	`associate-r/` `associate-l/` `distribute-lft-out`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 67

Calls

4 calls:

76.0ms	(cbrt (+ (+ (+ x y) y) x))
177.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))
217.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))
186.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt (+ (+ (+ x y) y) x))
450.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))
366.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))
444.0ms	(cbrt (* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x))))

simplify65.0ms

Counts: 79 → 79

prune376.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

6.1% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

end0.0ms

sample726.0ms

Algorithm

intervals

Results

337.0ms	7359×	body	80	valid
60.0ms	205×	body	640	valid
26.0ms	191×	body	1280	valid
11.0ms	146×	body	320	valid
5.0ms	33×	body	2560	valid
5.0ms	84×	body	160	valid