Details

sample111.0ms

Algorithm

intervals

Results

68.0ms

457×

body

valid

simplify102.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	84
4	84
3	73
2	46
1	26
0	15

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite207.0ms

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-+` `insert-posit16`
2×	`associate-+l+`

Counts

3 → 41

Calls

3 calls:

151.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
47.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(+ (* x y) (* z t))

series467.0ms

Counts

3 → 9

Calls

3 calls:

309.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
107.0ms	(+ (+ (* x y) (* z t)) (* a b))
50.0ms	(+ (* x y) (* z t))

simplify2.3s

Counts

50 → 50

Iterations

Iter	Nodes
3	5833
2	1316
1	277
0	87

prune650.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

13.0ms	(+ (* x y) (* z t))
24.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
25.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
202.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series1.3s

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (* x y) (* z t))
584.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
588.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
71.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify3.0s

Counts

114 → 114

Iterations

Iter	Nodes
3	7380
2	1310
1	357
0	137

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize58.0ms

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)))

rewrite50.0ms

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` `insert-posit16` `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 → 91

Calls

4 calls:

34.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
175.0ms	(cbrt (+ (* x y) (* z t)))
137.0ms	(cbrt (+ (* x y) (* z t)))
139.0ms	(cbrt (+ (* x y) (* z t)))

simplify696.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	2062
2	853
1	335
0	130

prune2.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.9b	(- (* (* z t) (* z t)) (* (* x y) (* z t)))
2.0b	(+ (* (* (* z t) (* z t)) (* z t)) (* (* x y) (* (* x y) (* x y))))
4.7b	(* (* x y) (* z t))
36.2b	(/ (+ (* (* (* z t) (* z t)) (* z t)) (* (* x y) (* (* x y) (* x y)))) (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))

rewrite886.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`cube-unmult` `pow3` `sum-cubes`
4×	`insert-posit16` `associate-/l*`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `distribute-rgt-out--` `diff-log` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv` `flip--`

Counts

4 → 86

Calls

4 calls:

53.0ms	(- (* (* z t) (* z t)) (* (* x y) (* z t)))
176.0ms	(+ (* (* (* z t) (* z t)) (* z t)) (* (* x y) (* (* x y) (* x y))))
48.0ms	(* (* x y) (* z t))
606.0ms	(/ (+ (* (* (* z t) (* z t)) (* z t)) (* (* x y) (* (* x y) (* x y)))) (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))

series617.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (* (* z t) (* z t)) (* (* x y) (* z t)))
284.0ms	(+ (* (* (* z t) (* z t)) (* z t)) (* (* x y) (* (* x y) (* x y))))
57.0ms	(* (* x y) (* z t))
186.0ms	(/ (+ (* (* (* z t) (* z t)) (* z t)) (* (* x y) (* (* x y) (* x y)))) (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))

simplify8.2s

Counts

98 → 98

Iterations

Iter	Nodes
3	17002
2	1966
1	457
0	174

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	22
1	22
0	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s

13709×

body

valid