Details

sample51.0ms

Algorithm

intervals

Results

21.0ms

440×

body

valid

simplify107.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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))

rewrite206.0ms

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:

45.0ms	(+ (+ (* x y) (* z t)) (* a b))
138.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
21.0ms	(+ (* x y) (* z t))

series473.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (+ (* x y) (* z t)) (* a b))
314.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
67.0ms	(+ (* x y) (* z t))

simplify2.6s

Counts

47 → 47

Iterations

Useful iterations: done (2.6s)

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

prune521.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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)))

rewrite157.0ms

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))
135.0ms	(+ (+ (* x y) (+ (* z t) (* a b))) (* c i))
15.0ms	(+ (* x y) (+ (* z t) (* a b)))

series434.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* z t) (* a b))
327.0ms	(+ (+ (* x y) (+ (* z t) (* a b))) (* c i))
66.0ms	(+ (* x y) (+ (* z t) (* a b)))

simplify2.2s

Counts

47 → 47

Iterations

Useful iterations: 2 (346.0ms)

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

prune477.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

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)))

rewrite82.0ms

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:

55.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
7.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
158.0ms	(cbrt (+ (* x y) (* z t)))
130.0ms	(cbrt (+ (* x y) (* z t)))
152.0ms	(cbrt (+ (* x y) (* z t)))

simplify2.3s

Counts

99 → 99

Iterations

Useful iterations: done (2.3s)

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

localize48.0ms

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))))))

rewrite93.0ms

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)))
78.0ms	(exp (log (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))))

series704.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (+ (* x y) (* z t)))
152.0ms	(cbrt (+ (* x y) (* z t)))
181.0ms	(cbrt (+ (* x y) (* z t)))
204.0ms	(exp (log (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))))

simplify2.4s

Counts

80 → 80

Iterations

Useful iterations: done (2.3s)

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

prune699.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes2.2s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s

13536×

body

valid