Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

330×

body

valid

simplify1.0s

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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/`
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:

7.0ms	(+ (* x y) (* z (- 1.0 y)))
21.0ms	(* z (- 1.0 y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* x y) (* z (- 1.0 y)))
64.0ms	(* z (- 1.0 y))

simplify2.1s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
3	4073
2	711
1	206
0	77

prune212.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
7×	`sum-log`
5×	`associate-+r-`
2×	`neg-sub0` `add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `unsub-neg` `neg-log` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+r+`

Counts

2 → 32

Calls

2 calls:

28.0ms	(+ (* x y) (+ (* z 1.0) (- (* y z))))
7.0ms	(+ (* z 1.0) (- (* y z)))

series136.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* x y) (+ (* z 1.0) (- (* y z))))
80.0ms	(+ (* z 1.0) (- (* y z)))

simplify838.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	1181
1	215
0	64

prune142.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (- 1.0 y)) (* z (- 1.0 y)))
0.3b	(* (* x y) (* x y))
2.3b	(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
26.1b	(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

rewrite313.0ms

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:

87.0ms	(* (* z (- 1.0 y)) (* z (- 1.0 y)))
42.0ms	(* (* x y) (* x y))
48.0ms	(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
128.0ms	(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* z (- 1.0 y)) (* z (- 1.0 y)))
47.0ms	(* (* x y) (* x y))
149.0ms	(- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y))))
149.0ms	(/ (- (* (* x y) (* x y)) (* (* z (- 1.0 y)) (* z (- 1.0 y)))) (- (* x y) (* z (- 1.0 y))))

simplify1.8s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	3726
1	630
0	205

prune597.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (* y x))
0.8b	(/ (/ (- (* y x) (* z (- 1.0 y))) (* z (- 1.0 y))) (- 1.0 y))
3.0b	(/ x (/ (- (* y x) (* z (- 1.0 y))) (* y (* y x))))
7.9b	(/ (- (* y x) (* z (- 1.0 y))) (* y (* y x)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
65×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`add-cube-cbrt`
41×	`add-cbrt-cube` `add-exp-log`
15×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l*`
13×	`associate-/r*` `div-inv`
12×	`associate-*r/`
10×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
9×	`pow1`
8×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `div-sub` `associate-l` `pow-prod-down` `associate-/l/`
1×	`associate-r` `*-commutative`

Counts

4 → 173

Calls

4 calls:

16.0ms	(* y (* y x))
36.0ms	(/ (/ (- (* y x) (* z (- 1.0 y))) (* z (- 1.0 y))) (- 1.0 y))
34.0ms	(/ x (/ (- (* y x) (* z (- 1.0 y))) (* y (* y x))))
50.0ms	(/ (- (* y x) (* z (- 1.0 y))) (* y (* y x)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* y (* y x))
128.0ms	(/ (/ (- (* y x) (* z (- 1.0 y))) (* z (- 1.0 y))) (- 1.0 y))
129.0ms	(/ x (/ (- (* y x) (* z (- 1.0 y))) (* y (* y x))))
88.0ms	(/ (- (* y x) (* z (- 1.0 y))) (* y (* y x)))

simplify475.0ms

Counts

185 → 185

Iterations

Iter	Nodes
done	5000
1	938
0	324

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes219.0ms

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

sample923.0ms

Algorithm

intervals

Results

492.0ms

10117×

body

valid