Details

sample45.0ms

Algorithm

intervals

Results

30.0ms

330×

body

valid

simplify956.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	1728
9	377
8	136
7	96
6	75
5	64
4	53
3	34
2	20
1	13
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- 1.0 y))
0.0b	(+ (* x y) (* z (- 1.0 y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`distribute-rgt-in` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

13.0ms	(* z (- 1.0 y))
8.0ms	(+ (* x y) (* z (- 1.0 y)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* z (- 1.0 y))
38.0ms	(+ (* x y) (* z (- 1.0 y)))

simplify2.2s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
3	3769
2	710
1	208
0	79

prune166.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* y y))
0.0b	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
3.3b	(* z (- (* 1.0 1.0) (* y y)))
5.8b	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-/r` `times-frac` `associate-r` `associate-r/` `insert-posit16`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `distribute-lft-out` `difference-of-squares` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

11.0ms	(- (* 1.0 1.0) (* y y))
14.0ms	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
23.0ms	(* z (- (* 1.0 1.0) (* y y)))
26.0ms	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series314.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* 1.0 1.0) (* y y))
82.0ms	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
64.0ms	(* z (- (* 1.0 1.0) (* y y)))
115.0ms	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify1.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2146
1	424
0	136

prune323.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z (- 1.0 y)))
0.0b	(sqrt (+ (* x y) (* z (- 1.0 y))))
0.0b	(sqrt (+ (* x y) (* z (- 1.0 y))))
0.2b	(* (sqrt (+ (* x y) (* z (- 1.0 y)))) (sqrt (+ (* x y) (* z (- 1.0 y)))))

rewrite64.0ms

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` `associate-+r+` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`distribute-rgt-in` `rem-sqrt-square` `sub-neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

10.0ms	(+ (* x y) (* z (- 1.0 y)))
11.0ms	(sqrt (+ (* x y) (* z (- 1.0 y))))
8.0ms	(sqrt (+ (* x y) (* z (- 1.0 y))))
33.0ms	(* (sqrt (+ (* x y) (* z (- 1.0 y)))) (sqrt (+ (* x y) (* z (- 1.0 y)))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* x y) (* z (- 1.0 y)))
140.0ms	(sqrt (+ (* x y) (* z (- 1.0 y))))
154.0ms	(sqrt (+ (* x y) (* z (- 1.0 y))))
46.0ms	(* (sqrt (+ (* x y) (* z (- 1.0 y)))) (sqrt (+ (* x y) (* z (- 1.0 y)))))

simplify1.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1503
1	315
0	124

prune419.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

683.0ms

10227×

body

valid