Details

sample63.0ms

Algorithm

intervals

Results

40.0ms

354×

body

valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	24
1	18
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
22×	`distribute-lft-out`
17×	`associate-l`
9×	`add-log-exp`
4×	`sum-log`
3×	`+-commutative`
2×	`add-sqr-sqrt` `pow1` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

2 → 41

Calls

2 calls:

234.0ms	(+ (+ (* x y) (* z t)) (* a b))
48.0ms	(+ (* x y) (* z t))

series150.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ (+ (* x y) (* z t)) (* a b))
59.0ms	(+ (* x y) (* z t))

simplify2.0s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
3	3207
2	826
1	193
0	59

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* a b) (* a b))
0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
3.1b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
27.8b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite8.9s

Algorithm

rewrite-expression-head

Rules

15323×	`*-un-lft-identity`
7437×	`associate-l`
4308×	`distribute-lft-out`
3764×	`swap-sqr`
3676×	`distribute-lft-out--`
3440×	`add-sqr-sqrt`
2490×	`times-frac`
1183×	`unswap-sqr`
1099×	`difference-of-squares`
244×	`*-commutative`
203×	`add-cube-cbrt`
166×	`associate-/l*`
50×	`pow1`
31×	`associate-r`
20×	`add-cbrt-cube` `add-exp-log`
18×	`pow-prod-down`
15×	`associate-/r*`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up`
4×	`distribute-rgt-in` `frac-times` `+-commutative` `distribute-lft-in` `associate--l+` `insert-posit16`
3×	`pow-plus` `flip3--` `flip--`
2×	`pow2` `associate-l/` `associate-r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 3013

Calls

4 calls:

56.0ms	(* (* a b) (* a b))
319.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
2.9s	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
5.0s	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series1.1s

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* a b) (* a b))
76.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
641.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
311.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify3.9s

Counts

3025 → 3025

Iterations

Iter	Nodes
done	5001
2	4249
1	1400
0	490

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (* (* z t) (* z t)) (* (* x y) (* z t)))
1.6b	(+ (* (* z t) (* (* z t) (* z t))) (* (* x y) (* (* x y) (* x y))))
3.2b	(* (* x y) (* z t))
36.7b	(/ (+ (* (* z t) (* (* z t) (* z t))) (* (* x y) (* (* x y) (* x y)))) (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))

rewrite8.6s

Algorithm

rewrite-expression-head

Rules

2206×	`*-un-lft-identity`
2105×	`associate-l`
825×	`distribute-lft-out`
528×	`times-frac`
470×	`distribute-lft-out--`
299×	`add-sqr-sqrt`
280×	`cube-unmult`
156×	`*-commutative`
140×	`sum-cubes`
134×	`unswap-sqr`
67×	`add-cube-cbrt`
64×	`associate-r`
45×	`difference-of-squares`
33×	`associate-/r*`
24×	`distribute-rgt-out--`
18×	`add-cbrt-cube` `add-exp-log`
16×	`pow1` `associate-/l*`
10×	`swap-sqr`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `flip-+`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--`

Counts

4 → 761

Calls

4 calls:

419.0ms	(- (* (* z t) (* z t)) (* (* x y) (* z t)))
1.4s	(+ (* (* z t) (* (* z t) (* z t))) (* (* x y) (* (* x y) (* x y))))
60.0ms	(* (* x y) (* z t))
6.7s	(/ (+ (* (* z t) (* (* z t) (* z t))) (* (* x y) (* (* x y) (* x y)))) (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))

series625.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (* (* z t) (* z t)) (* (* x y) (* z t)))
256.0ms	(+ (* (* z t) (* (* z t) (* z t))) (* (* x y) (* (* x y) (* x y))))
79.0ms	(* (* x y) (* z t))
183.0ms	(/ (+ (* (* z t) (* (* z t) (* z t))) (* (* x y) (* (* x y) (* x y)))) (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))

simplify3.0s

Counts

773 → 773

Iterations

Iter	Nodes
done	5002
2	3343
1	921
0	310

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize48.0ms

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))))
0.5b	(sqrt (+ (* x y) (* z t)))
0.5b	(sqrt (+ (* x y) (* z t)))

rewrite472.0ms

Algorithm

rewrite-expression-head

Rules

142×	`*-un-lft-identity`
88×	`sqrt-prod`
70×	`associate-l`
60×	`distribute-lft-out`
32×	`swap-sqr`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2` `associate-r`
9×	`flip3-+` `flip-+`
6×	`add-cbrt-cube` `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 → 146

Calls

4 calls:

60.0ms	(+ (* x y) (* z t))
262.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
76.0ms	(sqrt (+ (* x y) (* z t)))
63.0ms	(sqrt (+ (* x y) (* z t)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* x y) (* z t))
49.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
103.0ms	(sqrt (+ (* x y) (* z t)))
114.0ms	(sqrt (+ (* x y) (* z t)))

simplify2.0s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
3	2873
2	759
1	264
0	109

prune631.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes815.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s

11862×

body

valid