Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

310×

body

valid

simplify975.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	13	164
2	20	164
3	34	164
4	53	164
5	64	164
6	75	164
7	96	164
8	136	164
9	377	164
10	1728	164
done	5001	164

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-+r+`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 15

Calls

1 calls:

11.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify1.7s

Counts

18 → 18

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	36	4377
1	114	4006
2	412	3886
3	2364	3886
done	5001	3886

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (- 1.0 y)) (* z (- 1.0 y)))
0.2b	(* (* x y) (* x y))
4.2b	(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
27.8b	(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
16×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
14×	`associate-*r/`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`sub-neg` `flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up` `associate--r+`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 141

Calls

4 calls:

44.0ms	(* (* z (- 1.0 y)) (* z (- 1.0 y)))
21.0ms	(* (* x y) (* x y))
25.0ms	(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
68.0ms	(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* z (- 1.0 y)) (* z (- 1.0 y)))
43.0ms	(* (* x y) (* x y))
125.0ms	(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
126.0ms	(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

simplify2.4s

Counts

153 → 153

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	205	48945
1	630	39918
2	3726	36878
done	5001	36718

prune535.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`distribute-rgt-in` `pow1` `associate-+l+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

10.0ms	(+ (* y (- x z)) (* 1.0 z))
16.0ms	(* y (- x z))

series72.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* y (- x z)) (* 1.0 z))
41.0ms	(* y (- x z))

simplify2.5s

Counts

47 → 47

Iterations

Useful iterations: 3 (949.0ms)

Iter	Nodes	Cost
0	77	8963
1	208	7939
2	694	7699
3	3389	7539
done	5000	7539

prune190.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* y (- (* x x) (* z z))) (+ x z)) (* 1.0 z))
1.7b	(- (* x x) (* z z))
9.1b	(* y (- (* x x) (* z z)))
19.6b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite128.0ms

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/`
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 → 76

Calls

4 calls:

54.0ms	(+ (/ (* y (- (* x x) (* z z))) (+ x z)) (* 1.0 z))
6.0ms	(- (* x x) (* z z))
38.0ms	(* y (- (* x x) (* z z)))
28.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series362.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (/ (* y (- (* x x) (* z z))) (+ x z)) (* 1.0 z))
57.0ms	(- (* x x) (* z z))
99.0ms	(* y (- (* x x) (* z z)))
97.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify1.8s

Counts

88 → 88

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	132	25997
1	425	22103
2	2408	20621
done	5001	20341

prune390.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	164
1	11	164
done	11	164

end0.0ms

sample860.0ms

Algorithm

intervals

Results

469.0ms

10133×

body

valid