Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify7.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1738
6	803
5	457
4	220
3	107
2	50
1	23
0	9

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.8b

localize125.0ms

Local error

Found 1 expressions with local error:

18.6b

(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
6×	`add-cbrt-cube` `add-exp-log`
4×	`frac-times`
3×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `flip3-+` `times-frac` `flip3--` `add-cube-cbrt` `flip-+` `flip--`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

79.0ms

(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series141.0ms

Counts

1 → 3

Calls

1 calls:

141.0ms

(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify2.8s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	1218
1	236
0	76

prune473.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize87.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
0.3b	(expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y))))
18.6b	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-cbrt-cube` `add-exp-log` `associate-/l/`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `log1p-expm1-u`
3×	`expm1-log1p-u` `pow1` `associate-/r*` `flip3-+` `times-frac` `flip3--` `flip-+` `insert-posit16` `flip--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `prod-exp` `log1p-expm1` `cbrt-unprod` `div-inv` `associate-/l*` `expm1-udef`

Counts

3 → 56

Calls

3 calls:

3.0ms	(log1p (expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
2.0ms	(expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y))))
65.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series548.0ms

Counts

3 → 9

Calls

3 calls:

238.0ms	(log1p (expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
181.0ms	(expm1 (/ (* (- x y) (+ y x)) (fma x x (* y y))))
129.0ms	(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify3.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1265
1	275
0	101

prune877.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize98.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
18.6b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`associate-/r*` `times-frac` `flip3--` `flip--`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `associate-/r/` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 49

Calls

2 calls:

39.0ms	(+ (* x x) (* y y))
117.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x x) (* y y))
109.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify3.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5007
2	1484
1	338
0	97

prune680.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes546.0ms

Accuracy

77.5% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 20.5b

bsearch179.0ms

Steps

Iters	Range	Point
9	9.766152350749752e-183	1.7488987074787938e-177	1.7320534110029677e-177
8	-5.966691903875477e-154	-1.1475373314236562e-156	-3.83405927104694e-156
8	-1.6585161668290167e+155	-1.6730117821319332e+152	-1.7747840756602994e+152

Iters

Range

Point

9.766152350749752e-183

1.7488987074787938e-177

1.7320534110029677e-177

-5.966691903875477e-154

-1.1475373314236562e-156

-3.83405927104694e-156

-1.6585161668290167e+155

-1.6730117821319332e+152

-1.7747840756602994e+152

simplify16.0ms

Iterations

Iter	Nodes
done	28
1	28
0	21

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
337.0ms	8000×	pre	80	true