Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

322×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	55	7
4	103	7
5	147	7
6	185	7
7	271	7
8	460	7
9	707	7
10	775	7
11	779	7
done	779	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

16.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify1.8s

Counts

36 → 36

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	84	448
1	239	433
2	870	401
3	3703	401
done	5000	401

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

6.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))
12.0ms	(* (- z) (+ x y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))
37.0ms	(* (- z) (+ x y))

simplify703.0ms

Counts

56 → 56

Iterations

Useful iterations: done (701.0ms)

Iter	Nodes	Cost
0	109	766
1	363	707
2	1456	609
done	5000	589

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
7×	`distribute-lft-neg-out`
6×	`flip3-+` `flip-+`
4×	`associate-*l/` `frac-add` `sum-log`
3×	`distribute-neg-out` `unsub-neg` `distribute-rgt-neg-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `*-un-lft-identity` `add-cbrt-cube`
1×	`associate-+r+`

Counts

2 → 35

Calls

2 calls:

13.0ms	(+ (* (+ x y) 1.0) (+ (* x (- z)) (* (- z) y)))
3.0ms	(+ (* x (- z)) (* (- z) y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* (+ x y) 1.0) (+ (* x (- z)) (* (- z) y)))
36.0ms	(+ (* x (- z)) (* (- z) y))

simplify595.0ms

Counts

41 → 41

Iterations

Useful iterations: done (593.0ms)

Iter	Nodes	Cost
0	89	906
1	314	806
2	1437	648
done	5001	627

prune96.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y))))
2.7b	(cbrt (* (- z) (+ x y)))
2.7b	(cbrt (* (- z) (+ x y)))
2.7b	(cbrt (* (- z) (+ x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y))))
4.0ms	(cbrt (* (- z) (+ x y)))
4.0ms	(cbrt (* (- z) (+ x y)))
4.0ms	(cbrt (* (- z) (+ x y)))

series718.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y))))
156.0ms	(cbrt (* (- z) (+ x y)))
159.0ms	(cbrt (* (- z) (+ x y)))
161.0ms	(cbrt (* (- z) (+ x y)))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	117	1300
1	279	1189
2	716	1075
3	1937	990
done	5002	987

prune248.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	11	15
1	21	15
2	31	14
3	33	14
done	33	14

end0.0ms

sample404.0ms

Algorithm

intervals

Results

202.0ms

10056×

body

valid