Details

sample45.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	22	15
2	48	15
3	102	15
4	205	15
5	387	15
6	831	15
7	3622	15
done	5000	15

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
17.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r*` `flip--`
2×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`+-commutative` `frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

10.0ms	(+ (* x x) (* y y))
44.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* x x) (* y y))
88.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.5s

Counts

48 → 48

Iterations

Useful iterations: 2 (352.0ms)

Iter	Nodes	Cost
0	91	826
1	346	802
2	2658	666
done	5000	666

prune174.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
0.0b	(+ (* x x) (* y y))
0.0b	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
17.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`unpow-prod-down` `cube-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `times-frac` `add-cbrt-cube`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`associate-/l/`
6×	`add-log-exp`
5×	`pow1` `div-inv`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`pow-unpow` `flip3--` `pow-exp` `associate-/r*` `flip--` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow3` `associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube` `associate-/l*`

Counts

4 → 116

Calls

4 calls:

31.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
15.0ms	(+ (* x x) (* y y))
20.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
51.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
44.0ms	(+ (* x x) (* y y))
137.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
90.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify3.5s

Counts

128 → 128

Iterations

Useful iterations: 2 (857.0ms)

Iter	Nodes	Cost
0	158	2940
1	621	2620
2	4853	2246
done	5000	2246

prune427.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.1b	(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
16.9b	(/ (+ x y) (+ (* x x) (* y y)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

9.0ms	(+ (* x x) (* y y))
100.0ms	(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
42.0ms	(/ (+ x y) (+ (* x x) (* y y)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (* x x) (* y y))
111.0ms	(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
65.0ms	(/ (+ x y) (+ (* x x) (* y y)))

simplify2.2s

Counts

98 → 98

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	133	1685
1	428	1648
2	3136	1460
done	5001	1458

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes96.0ms

Accuracy

77.2% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 20.2b

bsearch128.0ms

Steps

Iters	Range	Point
10	8.321369759568243e-173	2.330254542546157e-162	2.0312725325745694e-162
10	-1.2695548442120409e-160	-1.8618414246790896e-170	-3.5258366213411744e-161
7	-4.0372067733341917e+155	-5.198860796817705e+153	-1.0822742841957296e+154

Iters

Range

Point

8.321369759568243e-173

2.330254542546157e-162

2.0312725325745694e-162

-1.2695548442120409e-160

-1.8618414246790896e-170

-3.5258366213411744e-161

-4.0372067733341917e+155

-5.198860796817705e+153

-1.0822742841957296e+154

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	23	50
1	31	33
done	31	33

end0.0ms

sample1.0s

Algorithm

intervals

Results

525.0ms	8000×	body	80	valid
203.0ms	8000×	pre	80	true