Details

sample36.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify211.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	177
7	177
6	168
5	143
4	100
3	59
2	34
1	17
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.4b	(- (* x x) (* (* y 4.0) y))
30.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite49.0ms

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:

17.0ms	(+ (* x x) (* (* y 4.0) y))
8.0ms	(- (* x x) (* (* y 4.0) y))
21.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (* x x) (* (* y 4.0) y))
63.0ms	(- (* x x) (* (* y 4.0) y))
79.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify3.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5030
3	3828
2	863
1	246
0	87

prune362.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize0.0ms

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

prune23.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
20.9b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.8b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

12.0ms	(+ (* x x) (* (* y 4.0) y))
96.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
39.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
13.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* x x) (* (* y 4.0) y))
105.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
81.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
80.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify2.0s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1822
1	453
0	142

prune474.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
1.1b	(log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
20.9b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.8b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

130.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
21.0ms	(log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
31.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
23.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
80.0ms	(log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
91.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
89.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5004
2	1576
1	431
0	160

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes253.0ms

Accuracy

59.9% (12.5b remaining)

Error of 12.9b against oracle of 0.3b and baseline of 31.7b

bsearch146.0ms

Steps

Iters	Range		Point
10	5.983110960818372e+78	5.424691173039659e+92	5.30647809698798e+92
3	7.239527806489587e-193	8.471152663935262e-193	8.394176110344907e-193
6	-7.034794544076098e-65	-6.211282037120254e-66	-7.394329418796279e-66
4	-1.8700852155488777e+100	-1.0341250558666946e+100	-1.6887213599031206e+100

simplify14.0ms

Iterations

Iter	Nodes
done	36
1	36
0	30

end0.0ms

sample671.0ms

Algorithm

intervals

Results

478.0ms

8000×

body

valid