Details

sample62.0ms

Algorithm

intervals

Results

23.0ms

270×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	17
0	11

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma d d (* c c))
0.5b	(fma a c (* b d))
24.6b	(/ (fma a c (* b d)) (fma d d (* c c)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma d d (* c c))
0.0ms	(fma a c (* b d))
8.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma d d (* c c))
68.0ms	(fma a c (* b d))
166.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

simplify1.5s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	2098
2	422
1	120
0	72

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 24.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma a c (* b d))
16.4b	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
28.9b	(sqrt (fma d d (* c c)))
28.9b	(sqrt (fma d d (* c c)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma a c (* b d))
5.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma a c (* b d))
166.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
59.0ms	(sqrt (fma d d (* c c)))
60.0ms	(sqrt (fma d d (* c c)))

simplify2.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
3	2336
2	480
1	143
0	88

prune824.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma a c (* b d))
24.6b	(/ (fma a c (* b d)) (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))))
28.9b	(sqrt (fma d d (* c c)))
28.9b	(sqrt (fma d d (* c c)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `fma-udef` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `hypot-def`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma a c (* b d))
10.0ms	(/ (fma a c (* b d)) (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))))
1.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma a c (* b d))
144.0ms	(/ (fma a c (* b d)) (* (sqrt (fma d d (* c c))) (sqrt (fma d d (* c c)))))
62.0ms	(sqrt (fma d d (* c c)))
61.0ms	(sqrt (fma d d (* c c)))

simplify2.7s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	3151
2	577
1	146
0	70

prune561.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 18.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma d d (* c c))
0.3b	(/ 1 (fma d d (* c c)))
0.5b	(fma a c (* b d))
24.7b	(* (fma a c (* b d)) (/ 1 (fma d d (* c c))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma d d (* c c))
8.0ms	(/ 1 (fma d d (* c c)))
0.0ms	(fma a c (* b d))
23.0ms	(* (fma a c (* b d)) (/ 1 (fma d d (* c c))))

series290.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma d d (* c c))
57.0ms	(/ 1 (fma d d (* c c)))
50.0ms	(fma a c (* b d))
135.0ms	(* (fma a c (* b d)) (/ 1 (fma d d (* c c))))

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1470
1	231
0	109

prune601.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 18.8b

regimes459.0ms

Accuracy

-6.2% (7.3b remaining)

Error of 26.4b against oracle of 19.1b and baseline of 26.0b

bsearch41.0ms

Steps

Iters	Range		Point
7	-1.702719386802388e+152	-6.8324523784438e+150	-1.683971468894738e+152

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

642.0ms

8493×

body

valid