Details

sample93.0ms

Algorithm

intervals

Results

41.0ms

440×

body

valid

simplify91.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	288
1	26	288
2	46	288
3	73	288
4	84	288
done	84	288

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.1b	(+ (* x y) (* z t))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

46.0ms	(+ (+ (* x y) (* z t)) (* a b))
139.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms	(+ (* x y) (* z t))

series432.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (+ (* x y) (* z t)) (* a b))
309.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
50.0ms	(+ (* x y) (* z t))

simplify2.7s

Counts

47 → 47

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	84	14124
1	276	13081
2	1387	12681
done	5001	12641

prune468.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

6.0ms	(+ (* z t) (* a b))
128.0ms	(+ (+ (* x y) (+ (* z t) (* a b))) (* c i))
30.0ms	(+ (* x y) (+ (* z t) (* a b)))

series455.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (* z t) (* a b))
333.0ms	(+ (+ (* x y) (+ (* z t) (* a b))) (* c i))
77.0ms	(+ (* x y) (+ (* z t) (* a b)))

simplify2.3s

Counts

47 → 47

Iterations

Useful iterations: 2 (336.0ms)

Iter	Nodes	Cost
0	84	14206
1	284	13163
2	1380	12763
done	5008	12803

prune370.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

47.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
8.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))

series693.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
192.0ms	(cbrt (+ (* x y) (* z t)))
167.0ms	(cbrt (+ (* x y) (* z t)))
144.0ms	(cbrt (+ (* x y) (* z t)))

simplify2.8s

Counts

99 → 99

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	128	40079
1	332	36063
2	886	35656
3	2460	34976
done	5000	34736

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) (* z t)))
0.6b	(cbrt (+ (* x y) (* z t)))
0.6b	(cbrt (+ (* x y) (* z t)))
5.0b	(exp (log (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`pow1` `exp-prod`
9×	`cbrt-prod` `flip3-+` `pow1/3` `log-pow` `flip-+`
8×	`add-sqr-sqrt` `log-div` `*-un-lft-identity` `exp-diff` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-prod` `pow-plus` `exp-sum` `rem-exp-log`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
59.0ms	(exp (log (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))))

series738.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (+ (* x y) (* z t)))
193.0ms	(cbrt (+ (* x y) (* z t)))
175.0ms	(cbrt (+ (* x y) (* z t)))
211.0ms	(exp (log (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))))

simplify2.5s

Counts

80 → 80

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	154	36226
1	347	29102
2	827	28615
3	2191	27975
done	5001	27735

prune749.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes1.7s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	288
1	22	288
done	22	288

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s

13536×

body

valid