Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	336×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify670.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	79	13
3	211	13
4	453	13
5	632	13
6	642	13
done	642	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2 (+ y z)) t)
0.0b	(* (+ (* 2 (+ y z)) t) x)
0.0b	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-+l+` `associate-*l/` `sum-log`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

7.0ms	(+ (* 2 (+ y z)) t)
25.0ms	(* (+ (* 2 (+ y z)) t) x)
3.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

series120.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (* 2 (+ y z)) t)
37.0ms	(* (+ (* 2 (+ y z)) t) x)
59.0ms	(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

simplify2.5s

Counts

53 → 53

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	91	761
1	247	714
2	896	640
3	4817	630
done	5000	630

prune158.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series827.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt x) (cbrt x))
201.0ms	(cbrt x)
204.0ms	(cbrt x)
195.0ms	(cbrt x)

simplify3.5s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3727	374
done	5000	374

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

19.0ms	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

series2.3s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
416.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
415.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
418.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: 3 (640.0ms)

Iter	Nodes	Cost
0	183	3548
1	440	3303
2	1169	3085
3	3573	2734
done	5000	2734

prune378.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
0.5b	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
3.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
2.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
3.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

series1.7s

Counts

4 → 12

Calls

4 calls:

414.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
418.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
414.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
419.0ms	(cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: 3 (392.0ms)

Iter	Nodes	Cost
0	155	2239
1	372	2173
2	942	2027
3	2861	1967
done	5000	1967

prune329.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	18	13
done	18	13

end0.0ms

sample650.0ms

Algorithm

intervals

Results

344.0ms	10657×	body	80	valid
14.0ms	77×	body	1280	valid
12.0ms	104×	body	640	valid
6.0ms	71×	body	320	valid
2.0ms	35×	body	160	valid