Details

sample43.0ms

Algorithm

intervals

Results

10.0ms	236×	body	80	valid
6.0ms	34×	body	1280	valid
4.0ms	25×	body	640	valid
3.0ms	32×	body	160	valid
2.0ms	12×	body	320	valid
1.0ms	5×	body	2560	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1412
4	342
3	128
2	59
1	22
0	9

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

29.0ms

(* y (- x z))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* y (- x z))

simplify1.8s

Counts

29 → 29

Iterations

Iter	Nodes
done	5000
3	1078
2	317
1	121
0	52

prune110.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-lft-neg-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `distribute-rgt-out` `add-cbrt-cube` `unsub-neg` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 14

Calls

1 calls:

10.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.5s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
3	1434
2	413
1	108
0	31

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (+ x z))
0.1b	(* (- x z) (* y (+ x z)))
23.5b	(/ (* (- x z) (* y (+ x z))) (+ x z))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

16.0ms	(* y (+ x z))
65.0ms	(* (- x z) (* y (+ x z)))
51.0ms	(/ (* (- x z) (* y (+ x z))) (+ x z))

series156.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* y (+ x z))
74.0ms	(* (- x z) (* y (+ x z)))
53.0ms	(/ (* (- x z) (* y (+ x z))) (+ x z))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	2266
1	458
0	140

prune451.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z y))
0.1b	(* (- x z) (+ (* x y) (* z y)))
23.5b	(/ (* (- x z) (+ (* x y) (* z y))) (+ x z))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

11.0ms	(+ (* x y) (* z y))
57.0ms	(* (- x z) (+ (* x y) (* z y)))
46.0ms	(/ (* (- x z) (+ (* x y) (* z y))) (+ x z))

series183.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) (* z y))
66.0ms	(* (- x z) (+ (* x y) (* z y)))
83.0ms	(/ (* (- x z) (+ (* x y) (* z y))) (+ x z))

simplify1.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5029
2	2058
1	440
0	129

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	17
3	17
2	16
1	12
0	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

540.0ms	7094×	body	80	valid
386.0ms	886×	body	1280	valid
267.0ms	817×	body	640	valid
103.0ms	189×	body	2560	valid
92.0ms	586×	body	320	valid
62.0ms	562×	body	160	valid