Details

sample118.0ms

Algorithm

intervals

Results

75.0ms

416×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
80×	`distribute-lft-out`
54×	`associate-l`
19×	`add-log-exp`
10×	`sum-log`
8×	`associate-+l+`
6×	`+-commutative`
3×	`add-sqr-sqrt` `pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

3 → 81

Calls

3 calls:

1.1s	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
60.0ms	(+ (* x y) (* z t))
232.0ms	(+ (+ (* x y) (* z t)) (* a b))

series412.0ms

Counts

3 → 9

Calls

3 calls:

293.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
52.0ms	(+ (* x y) (* z t))
67.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify3.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
3	4906
2	1108
1	286
0	91

prune353.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
0.3b	(* (* a b) (* a b))
3.2b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
28.5b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite9.0s

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:

319.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
58.0ms	(* (* a b) (* a b))
2.5s	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
5.1s	(/ (- (* (+ (* 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:

100.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
55.0ms	(* (* a b) (* a b))
667.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
301.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify3.7s

Counts

3025 → 3025

Iterations

Iter	Nodes
done	5001
2	4305
1	1406
0	490

prune2.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
3.2b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) b) a))
6.2b	(* (* (* a b) b) a)
28.5b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) b) a)) (- (+ (* x y) (* z t)) (* a b)))

rewrite8.1s

Algorithm

rewrite-expression-head

Rules

2614×	`*-un-lft-identity`
1940×	`associate-l`
1526×	`add-sqr-sqrt`
888×	`distribute-lft-out--`
705×	`times-frac`
704×	`distribute-lft-out`
637×	`unswap-sqr`
436×	`difference-of-squares`
95×	`swap-sqr`
78×	`add-cube-cbrt`
72×	`*-commutative`
47×	`associate-/l*`
20×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
16×	`associate-r`
15×	`associate-/r*`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`distribute-rgt-in` `frac-times` `+-commutative` `distribute-lft-in` `associate--l+` `insert-posit16`
3×	`flip3--` `flip--`
2×	`associate-l/` `associate-r/` `associate-/r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `pow-sqr` `pow-prod-up` `div-inv`

Counts

4 → 962

Calls

4 calls:

322.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
2.4s	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) b) a))
145.0ms	(* (* (* a b) b) a)
5.1s	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) b) a)) (- (+ (* x y) (* z t)) (* a b)))

series1.1s

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
630.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) b) a))
35.0ms	(* (* (* a b) b) a)
284.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* (* a b) b) a)) (- (+ (* x y) (* z t)) (* a b)))

simplify3.1s

Counts

974 → 974

Iterations

Iter	Nodes
done	5005
2	3670
1	1123
0	412

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

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))))
0.6b	(sqrt (+ (* x y) (* z t)))
0.6b	(sqrt (+ (* x y) (* z t)))

rewrite474.0ms

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:

34.0ms	(+ (* x y) (* z t))
302.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
72.0ms	(sqrt (+ (* x y) (* z t)))
59.0ms	(sqrt (+ (* x y) (* z t)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (* x y) (* z t))
55.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
112.0ms	(sqrt (+ (* x y) (* z t)))
115.0ms	(sqrt (+ (* x y) (* z t)))

simplify2.1s

Counts

158 → 158

Iterations

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

prune741.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes1.2s

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	22
1	22
0	15

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.1s

13606×

body

valid