Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify285.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	202
7	202
6	198
5	169
4	116
3	67
2	35
1	17
0	9

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.2b	(- (* x x) (* (* y 4.0) y))
30.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

13.0ms	(+ (* x x) (* (* y 4.0) y))
13.0ms	(- (* x x) (* (* y 4.0) y))
49.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* x x) (* (* y 4.0) y))
45.0ms	(- (* x x) (* (* y 4.0) y))
90.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify782.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1203
1	254
0	87

prune252.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y (* y 4.0)))
0.0b	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
4.2b	(- (* x x) (* y (* y 4.0)))
30.1b	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`div-exp` `add-log-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 138

Calls

4 calls:

7.0ms	(+ (* x x) (* y (* y 4.0)))
21.0ms	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
10.0ms	(- (* x x) (* y (* y 4.0)))
29.0ms	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* x x) (* y (* y 4.0)))
95.0ms	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
60.0ms	(- (* x x) (* y (* y 4.0)))
95.0ms	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

simplify2.0s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	3314
1	534
0	192

prune478.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (* x x) (* y (* y 4.0)))
30.1b	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
30.1b	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
30.1b	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
6×	`associate-/r/` `add-log-exp` `associate-/l/`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-sub` `div-exp` `flip-+` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 108

Calls

4 calls:

7.0ms	(- (* x x) (* y (* y 4.0)))
21.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
24.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
21.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* x x) (* y (* y 4.0)))
87.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
97.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
68.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

simplify705.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	5002
2	1343
1	237
0	82

prune717.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes254.0ms

Accuracy

53% (14.4b remaining)

Error of 14.7b against oracle of 0.3b and baseline of 31.0b

bsearch401.0ms

Steps

Iters	Range		Point
8	1.554980890507146e+50	6.447507513983036e+53	6.357559912396234e+53
10	6.350418665017979e-153	1.5267098419003533e-142	6.823576610928472e-152
10	-1.2554389614223213e-180	-1.5147693389286864e-190	-1.239928607796128e-180
3	-1.0426208093273308e-128	-8.529105409937888e-129	-8.647674327646353e-129
7	-1.0247974828914149e-73	-2.6388757619776774e-75	-5.393824270148449e-74
6	-5.10986653714767e-17	-1.173305502329754e-17	-3.4780572575898166e-17
10	-3.307435552146123e+26	-23371946804750188.0	-2.1328351164470982e+17
3	-1.1611654526548658e+117	-8.48111626998625e+116	-9.850726757232305e+116

simplify11.0ms

Iterations

Iter	Nodes
done	48
1	48
0	42

end0.0ms

sample801.0ms

Algorithm

intervals

Results

535.0ms

8000×

body

valid