Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	48	7
2	104	7
3	196	7
4	359	7
5	686	7
6	1355	7
7	5001	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
22.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite39.0ms

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:

7.0ms	(+ (* x x) (* y y))
30.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x x) (* y y))
62.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify41.0ms

Counts

48 → 48

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	308	388
1	1848	330
2	5001	322
done	5001	322

prune111.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune4.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
0.0b	(+ (* x x) (* y y))
22.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

24.0ms	(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
7.0ms	(+ (* x x) (* y y))
29.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
27.0ms	(+ (* x x) (* y y))
64.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify44.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	348	599
1	1931	516
2	5001	501
done	5001	501

prune177.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.1b	(* (+ (* x x) (* y y)) (- x y))
0.1b	(* (- x y) (- (* x x) (* y y)))
35.7b	(/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

8.0ms	(+ (* x x) (* y y))
35.0ms	(* (+ (* x x) (* y y)) (- x y))
42.0ms	(* (- x y) (- (* x x) (* y y)))
45.0ms	(/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* x x) (* y y))
36.0ms	(* (+ (* x x) (* y y)) (- x y))
43.0ms	(* (- x y) (- (* x x) (* y y)))
52.0ms	(/ (* (- x y) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)))

simplify116.0ms

Counts

125 → 125

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	602	1284
1	4374	1053
2	5001	1053
done	5001	1053

prune261.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.6b

regimes85.0ms

Accuracy

76.5% (5.0b remaining)

Error of 5.5b against oracle of 0.5b and baseline of 21.9b

bsearch89.0ms

Steps

Iters	Range		Point
2	1.3208852066059225e-166	1.5408131166191686e-166	1.336866892806928e-166
10	2.7636474607770915e-218	6.51746038965982e-208	6.45195923821976e-208
10	-1.2064467384309053e-161	-8.786774377342885e-175	-1.6940632468089707e-162
8	-2.4426674496164293e+154	-2.3894100003351086e+151	-3.8474348794431934e+151

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	18
1	30	18
done	30	18

end0.0ms

sample511.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
99.0ms	8000×	pre	80	true