Details

sample125.0ms

Algorithm

intervals

Results

55.0ms

457×

body

valid

simplify94.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	48	15
3	81	15
4	102	15
done	102	15

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

15.0ms	(+ (* x y) (* z t))
215.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
52.0ms	(+ (+ (* x y) (* z t)) (* a b))

series521.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x y) (* z t))
364.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
99.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify1.0s

Counts

47 → 47

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	85	777
1	281	719
2	1487	689
done	5000	689

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))

rewrite488.0ms

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:

460.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
7.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(cbrt (+ (* x y) (* z t)))

series812.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
188.0ms	(cbrt (+ (* x y) (* z t)))
186.0ms	(cbrt (+ (* x y) (* z t)))
191.0ms	(cbrt (+ (* x y) (* z t)))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	127	2030
1	335	1881
2	1143	1751
done	5000	1634

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

9.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))
9.0ms	(cbrt (+ (* x y) (* z t)))

series808.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt (+ (* x y) (* z t)))
201.0ms	(cbrt (+ (* x y) (* z t)))
195.0ms	(cbrt (+ (* x y) (* z t)))
181.0ms	(cbrt (+ (* x y) (* z t)))

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	67	1024
1	180	988
2	468	912
3	1323	888
done	5000	836

prune909.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.0b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

52.0ms	(+ (+ (* x y) (* z t)) (* a b))
53.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
59.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
254.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series1.7s

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ (+ (* x y) (* z t)) (* a b))
760.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
737.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
103.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	3015
1	322	2236
2	1525	2058
done	5000	2007

prune953.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes2.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	15
1	22	15
done	22	15

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.8s

13634×

body

valid