Details

sample160.0ms

Algorithm

intervals

Results

18.0ms

318×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	50	7
5	66	7
6	75	7
7	93	7
8	232	7
9	621	7
10	2696	7
done	5000	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

14.0ms	(+ x (* y (- z x)))
56.0ms	(* y (- z x))

series131.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ x (* y (- z x)))
71.0ms	(* y (- z x))

simplify3.2s

Counts

47 → 47

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	73	409
1	186	381
2	609	351
3	3766	351
done	5000	351

prune242.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

16.0ms	(+ (* z y) (* (- x) y))
34.0ms	(+ x (+ (* z y) (* (- x) y)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (* z y) (* (- x) y))
59.0ms	(+ x (+ (* z y) (* (- x) y)))

simplify888.0ms

Counts

36 → 36

Iterations

Useful iterations: done (886.0ms)

Iter	Nodes	Cost
0	54	452
1	181	314
2	880	297
done	5001	294

prune215.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
2.9b	(cbrt (* y (- z x)))
2.9b	(cbrt (* y (- z x)))
2.9b	(cbrt (* y (- z x)))

rewrite106.0ms

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:

49.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
14.0ms	(cbrt (* y (- z x)))
15.0ms	(cbrt (* y (- z x)))
24.0ms	(cbrt (* y (- z x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

374.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
334.0ms	(cbrt (* y (- z x)))
307.0ms	(cbrt (* y (- z x)))
322.0ms	(cbrt (* y (- z x)))

simplify949.0ms

Counts

84 → 84

Iterations

Useful iterations: done (944.0ms)

Iter	Nodes	Cost
0	115	1174
1	276	1071
2	917	975
done	5000	916

prune631.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z x))
0.6b	(cbrt y)
2.9b	(cbrt (* y (- z x)))
2.9b	(cbrt (* y (- z x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*r/` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 48

Calls

4 calls:

7.0ms	(cbrt (- z x))
1.0ms	(cbrt y)
13.0ms	(cbrt (* y (- z x)))
13.0ms	(cbrt (* y (- z x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt (- z x))
341.0ms	(cbrt y)
292.0ms	(cbrt (* y (- z x)))
293.0ms	(cbrt (* y (- z x)))

simplify1.5s

Counts

60 → 60

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	119	557
1	248	541
2	640	501
3	2213	470
done	5001	425

prune490.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes231.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	18	10
3	19	10
done	19	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

461.0ms

10137×

body

valid