Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

326×

body

valid

simplify944.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	1249
9	305
8	122
7	88
6	71
5	65
4	55
3	34
2	20
1	13
0	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

20.0ms	(* (- x 1.0) z)
7.0ms	(+ (* x y) (* (- x 1.0) z))

series108.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* (- x 1.0) z)
53.0ms	(+ (* x y) (* (- x 1.0) z))

simplify528.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	743
1	191
0	71

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- x 1.0))
0.0b	(+ (* x y) (cbrt (pow (* z (- x 1.0)) 3)))
0.1b	(pow (* z (- x 1.0)) 3)
36.4b	(cbrt (pow (* z (- x 1.0)) 3))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cube-mult` `cbrt-div` `sub-neg` `unpow-prod-down` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow1/3` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

36.0ms	(* z (- x 1.0))
16.0ms	(+ (* x y) (cbrt (pow (* z (- x 1.0)) 3)))
14.0ms	(pow (* z (- x 1.0)) 3)
3.0ms	(cbrt (pow (* z (- x 1.0)) 3))

series196.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* z (- x 1.0))
36.0ms	(+ (* x y) (cbrt (pow (* z (- x 1.0)) 3)))
69.0ms	(pow (* z (- x 1.0)) 3)
38.0ms	(cbrt (pow (* z (- x 1.0)) 3))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2061
1	397
0	134

prune395.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y x) (* x y))
1.9b	(* (* (* z (- x 1.0)) z) (- x 1.0))
2.5b	(- (* (* y x) (* x y)) (* (* (* z (- x 1.0)) z) (- x 1.0)))
26.5b	(/ (- (* (* y x) (* x y)) (* (* (* z (- x 1.0)) z) (- x 1.0))) (- (* x y) (* z (- x 1.0))))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-cbrt-cube` `add-exp-log`
25×	`pow1`
15×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-cube-cbrt`
9×	`times-frac` `flip3--` `flip--`
8×	`associate-l/` `associate-r/`
6×	`associate-r` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate--r+`
3×	`associate-/r` `associate-/l`
2×	`associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

24.0ms	(* (* y x) (* x y))
154.0ms	(* (* (* z (- x 1.0)) z) (- x 1.0))
44.0ms	(- (* (* y x) (* x y)) (* (* (* z (- x 1.0)) z) (- x 1.0)))
98.0ms	(/ (- (* (* y x) (* x y)) (* (* (* z (- x 1.0)) z) (- x 1.0))) (- (* x y) (* z (- x 1.0))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* y x) (* x y))
68.0ms	(* (* (* z (- x 1.0)) z) (- x 1.0))
136.0ms	(- (* (* y x) (* x y)) (* (* (* z (- x 1.0)) z) (- x 1.0)))
139.0ms	(/ (- (* (* y x) (* x y)) (* (* (* z (- x 1.0)) z) (- x 1.0))) (- (* x y) (* z (- x 1.0))))

simplify2.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	4600
1	643
0	211

prune594.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes230.0ms

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

sample1.5s

Algorithm

intervals

Results

573.0ms

10148×

body

valid