Details

sample45.0ms

Algorithm

intervals

Results

16.0ms

322×

body

valid

simplify29.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
3	24
2	20
1	12
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) (* z t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `fma-neg` `diff-log` `prod-diff` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 17

Calls

1 calls:

15.0ms

(- (* x y) (* z t))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(- (* x y) (* z t))

simplify4.7s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
4	2169
3	931
2	325
1	106
0	39

prune291.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* z t))
0.2b	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
1.5b	(sqrt (- (* x y) (* z t)))
1.5b	(sqrt (- (* x y) (* z t)))

rewrite175.0ms

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×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `fma-neg` `sqrt-unprod` `diff-log` `prod-diff` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

11.0ms	(- (* x y) (* z t))
111.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
25.0ms	(sqrt (- (* x y) (* z t)))
15.0ms	(sqrt (- (* x y) (* z t)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* x y) (* z t))
73.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
193.0ms	(sqrt (- (* x y) (* z t)))
179.0ms	(sqrt (- (* x y) (* z t)))

simplify5.5s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
3	2934
2	775
1	271
0	125

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (- (* x y) (* z t))) (sqrt (sqrt (- (* x y) (* z t)))))
1.5b	(sqrt (- (* x y) (* z t)))
1.5b	(sqrt (- (* x y) (* z t)))
1.5b	(sqrt (- (* x y) (* z t)))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

31×	`sqrt-prod`
29×	`add-sqr-sqrt`
24×	`sqrt-div`
18×	`pow1`
14×	`sqrt-pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1/2`
9×	`flip3--` `associate-r` `flip--`
6×	`add-cbrt-cube` `associate-l` `add-exp-log` `pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `pow-prod-down`
2×	`pow3` `associate-l/` `associate-r/`
1×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

130.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (sqrt (- (* x y) (* z t)))))
26.0ms	(sqrt (- (* x y) (* z t)))
30.0ms	(sqrt (- (* x y) (* z t)))
29.0ms	(sqrt (- (* x y) (* z t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

507.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (sqrt (- (* x y) (* z t)))))
178.0ms	(sqrt (- (* x y) (* z t)))
177.0ms	(sqrt (- (* x y) (* z t)))
155.0ms	(sqrt (- (* x y) (* z t)))

simplify5.3s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
3	3810
2	1082
1	390
0	157

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

1.5b	(sqrt (- (* x y) (* z t)))
1.5b	(sqrt (- (* x y) (* z t)))
1.5b	(sqrt (- (* x y) (* z t)))
1.5b	(sqrt (- (* x y) (* z t)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

24.0ms	(sqrt (- (* x y) (* z t)))
15.0ms	(sqrt (- (* x y) (* z t)))
16.0ms	(sqrt (- (* x y) (* z t)))
19.0ms	(sqrt (- (* x y) (* z t)))

series704.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(sqrt (- (* x y) (* z t)))
159.0ms	(sqrt (- (* x y) (* z t)))
199.0ms	(sqrt (- (* x y) (* z t)))
187.0ms	(sqrt (- (* x y) (* z t)))

simplify3.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
3	1858
2	503
1	168
0	61

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 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
done	9
1	9
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

443.0ms

10494×

body

valid