Details

sample25.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify7.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	10	123
2	17	123
3	31	123
4	47	123
5	59	123
6	69	123
7	91	123
8	150	123
9	266	123
10	566	123
11	1557	123
12	3148	123
done	5000	123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

5.0ms	(+ x (* (- y x) z))
24.0ms	(* (- y x) z)

series100.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ x (* (- y x) z))
42.0ms	(* (- y x) z)

simplify2.1s

Counts

39 → 39

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	68	7160
1	167	6417
2	476	6137
3	2218	6137
done	5015	6137

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
2.9b	(- (* y y) (* x x))
11.0b	(* (- (* y y) (* x x)) z)
19.2b	(/ (* (- (* y y) (* x x)) z) (+ y x))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-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-l` `associate-l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `difference-of-squares` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

18.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
6.0ms	(- (* y y) (* x x))
21.0ms	(* (- (* y y) (* x x)) z)
36.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

series269.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
41.0ms	(- (* y y) (* x x))
64.0ms	(* (- (* y y) (* x x)) z)
61.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

simplify2.0s

Counts

85 → 85

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	125	24775
1	360	20361
2	1413	19521
done	5007	18304

prune396.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt y) (sqrt x))
0.0b	(- (sqrt y) (sqrt x))
0.1b	(* (- (sqrt y) (sqrt x)) z)
0.1b	(* (+ (sqrt y) (sqrt x)) (* (- (sqrt y) (sqrt x)) z))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`associate-l`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
8×	`add-log-exp` `difference-of-squares`
7×	`add-cube-cbrt`
5×	`flip3--` `flip--`
4×	`frac-times` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

15.0ms	(+ (sqrt y) (sqrt x))
16.0ms	(- (sqrt y) (sqrt x))
38.0ms	(* (- (sqrt y) (sqrt x)) z)
92.0ms	(* (+ (sqrt y) (sqrt x)) (* (- (sqrt y) (sqrt x)) z))

series471.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (sqrt y) (sqrt x))
60.0ms	(- (sqrt y) (sqrt x))
63.0ms	(* (- (sqrt y) (sqrt x)) z)
261.0ms	(* (+ (sqrt y) (sqrt x)) (* (- (sqrt y) (sqrt x)) z))

simplify1.8s

Counts

97 → 97

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	127	29920
1	345	24109
2	1309	20665
done	5022	20505

prune486.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes241.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	8	123
done	8	123

end0.0ms

sample755.0ms

Algorithm

intervals

Results

401.0ms

10152×

body

valid