Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

330×

body

valid

simplify80.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	166
5	166
4	137
3	82
2	42
1	16
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`associate-l/` `associate-r/` `distribute-lft-out`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

27.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify1.1s

Counts

33 → 33

Iterations

Iter	Nodes
done	5003
2	1080
1	274
0	78

prune219.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`pow1` `add-cbrt-cube` `associate-l` `frac-add` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

17.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
16.0ms	(* (+ x y) z)

series97.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
29.0ms	(* (+ x y) z)

simplify1.3s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1020
1	287
0	94

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
0.1b	(* z (* z z))
0.5b	(* (+ x y) (+ (* 1.0 (* 1.0 1.0)) (* z (* z z))))
13.8b	(/ (* (+ x y) (+ (* 1.0 (* 1.0 1.0)) (* z (* z z)))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
14×	`flip3-+` `flip-+`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt` `add-log-exp`
8×	`frac-times` `associate-/l/`
7×	`associate-l`
5×	`associate-r` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`pow-prod-down` `associate-l/` `associate-r/`
3×	`associate-/r*` `times-frac` `cube-unmult`
2×	`cbrt-undiv` `associate-+r+` `sum-log` `div-exp` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `+-commutative` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `pow-sqr` `sum-cubes` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 100

Calls

4 calls:

17.0ms	(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
23.0ms	(* z (* z z))
133.0ms	(* (+ x y) (+ (* 1.0 (* 1.0 1.0)) (* z (* z z))))
82.0ms	(/ (* (+ x y) (+ (* 1.0 (* 1.0 1.0)) (* z (* z z)))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
52.0ms	(* z (* z z))
161.0ms	(* (+ x y) (+ (* 1.0 (* 1.0 1.0)) (* z (* z z))))
193.0ms	(/ (* (+ x y) (+ (* 1.0 (* 1.0 1.0)) (* z (* z z)))) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

simplify2.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5004
2	2765
1	617
0	188

prune675.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x y) (- z 1.0))
0.7b	(* (+ x y) (* (- x y) (* (+ z 1.0) (- z 1.0))))
1.0b	(* (- x y) (* (+ z 1.0) (- z 1.0)))
33.9b	(/ (* (+ x y) (* (- x y) (* (+ z 1.0) (- z 1.0)))) (* (- x y) (- z 1.0)))

rewrite589.0ms

Algorithm

rewrite-expression-head

Rules

308×	`frac-times`
154×	`associate-*r/`
138×	`flip3--` `flip--`
117×	`flip3-+` `flip-+`
80×	`associate-/l/`
64×	`associate-*l/`
52×	`add-cbrt-cube` `add-exp-log`
34×	`distribute-rgt-in` `distribute-lft-in`
26×	`prod-exp` `cbrt-unprod`
20×	`pow1`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`sub-neg` `associate-l`
10×	`pow-prod-down`
8×	`cbrt-undiv` `div-exp` `associate-/r/` `add-cube-cbrt`
7×	`associate-r`
4×	`add-log-exp`
3×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

4 → 323

Calls

4 calls:

31.0ms	(* (- x y) (- z 1.0))
243.0ms	(* (+ x y) (* (- x y) (* (+ z 1.0) (- z 1.0))))
79.0ms	(* (- x y) (* (+ z 1.0) (- z 1.0)))
199.0ms	(/ (* (+ x y) (* (- x y) (* (+ z 1.0) (- z 1.0)))) (* (- x y) (- z 1.0)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (- x y) (- z 1.0))
161.0ms	(* (+ x y) (* (- x y) (* (+ z 1.0) (- z 1.0))))
101.0ms	(* (- x y) (* (+ z 1.0) (- z 1.0)))
45.0ms	(/ (* (+ x y) (* (- x y) (* (+ z 1.0) (- z 1.0)))) (* (- x y) (- z 1.0)))

simplify2.0s

Counts

335 → 335

Iterations

Iter	Nodes
done	5003
1	1902
0	485

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes292.0ms

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	12
1	12
0	8

end0.0ms

sample812.0ms

Algorithm

intervals

Results

389.0ms	10150×	body	80	valid
0.0ms	1×	body	320	valid