Details

sample45.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify244.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize20.0ms

Local error

Found 2 expressions with local error:

3.3b	(- (* x x) (* (* y 4.0) y))
29.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

11.0ms	(- (* x x) (* (* y 4.0) y))
40.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* x x) (* (* y 4.0) y))
71.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.1s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
2	1187
1	237
0	82

prune305.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
19.0b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
20.4b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`associate-/r/`
7×	`times-frac` `add-cube-cbrt`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`clear-num` `frac-2neg` `associate-/l*` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

3 → 68

Calls

3 calls:

88.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
24.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
32.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series268.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
73.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
88.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	2673
1	407
0	130

prune320.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize73.0ms

Local error

Found 4 expressions with local error:

19.0b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
20.4b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
20.4b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
20.4b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
11×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-/r/`
4×	`pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 98

Calls

4 calls:

26.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
42.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
42.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
40.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
93.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
95.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
95.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	2307
1	325
0	100

prune783.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize1.0ms

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

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

regimes291.0ms

Accuracy

56.7% (13.4b remaining)

Error of 13.8b against oracle of 0.3b and baseline of 31.4b

bsearch237.0ms

Steps

Iters	Range		Point
9	1.8841348729660574e+121	3.270754152227266e+128	7.3735183150701e+127
6	1.9438090553147822e-153	1.5544812808461908e-152	2.1395518106041052e-153
7	-2.6703146002526768e+20	-6.809545746203195e+18	-9.211266202426182e+18
7	-4.6693392046439585e+80	-2.8553313065515472e+79	-4.332313917220749e+80
8	-1.4870231680618705e+126	-3.431305599926169e+122	-4.754864512281886e+122

simplify14.0ms

Iterations

Iter	Nodes
done	36
1	36
0	30

end0.0ms

sample602.0ms

Algorithm

intervals

Results

385.0ms

8000×

body

valid