Details

sample20.0ms

Algorithm

intervals

Results

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

simplify60.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

8.0ms	(+ (* x x) (* y y))
30.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x x) (* y y))
61.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify42.0ms

Counts

48 → 48

Iterations

Useful iterations: 2 (38.0ms)

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

prune314.0ms

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)))

rewrite66.0ms

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)))))
8.0ms	(+ (* x x) (* y y))
32.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(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)))

simplify46.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (40.0ms)

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

prune174.0ms

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`flip3-+` `flip-+`
16×	`frac-times`
12×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow1` `add-cube-cbrt` `associate-r/` `associate-r` `associate-l/` `associate-/r/` `associate-/l/`
7×	`associate-l`
6×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `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` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

8.0ms	(+ (* x x) (* y y))
38.0ms	(* (- (* x x) (* y y)) (+ x y))
35.0ms	(* (+ (* x x) (* y y)) (+ x y))
37.0ms	(/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* x x) (* y y))
40.0ms	(* (- (* x x) (* y y)) (+ x y))
36.0ms	(* (+ (* x x) (* y y)) (+ x y))
55.0ms	(/ (* (- (* x x) (* y y)) (+ x y)) (* (+ (* x x) (* y y)) (+ x y)))

simplify126.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	619	1228
1	4369	983
2	5003	973
done	5003	973

prune250.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

regimes78.0ms

Accuracy

76.5% (5.0b remaining)

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

bsearch90.0ms

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	33	20
1	33	20
done	33	20

end0.0ms

sample512.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
102.0ms	8000×	pre	80	true