Details

sample51.0ms

Algorithm

intervals

Results

34.0ms

267×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	21
2	21
1	17
0	11

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.5b	(fma a c (* b d))
26.9b	(/ (fma a c (* b d)) (fma d d (* c c)))

rewrite5.0ms

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`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

0.0ms	(fma a c (* b d))
4.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma a c (* b d))
108.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

simplify1.3s

Counts

47 → 47

Iterations

Iter	Nodes
4	3461
3	1019
2	283
1	109
0	65

prune480.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 26.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma a c (* b d))
18.2b	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
29.2b	(sqrt (fma d d (* c c)))
29.2b	(sqrt (fma d d (* c c)))

rewrite11.0ms

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` `insert-posit16` `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 → 87

Calls

4 calls:

0.0ms	(fma a c (* b d))
6.0ms	(/ (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)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma a c (* b d))
153.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
60.0ms	(sqrt (fma d d (* c c)))
52.0ms	(sqrt (fma d d (* c c)))

simplify889.0ms

Counts

99 → 99

Iterations

Iter	Nodes
4	2805
3	970
2	305
1	146
0	91

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (fma a c (* b d)) (hypot d c)) (sqrt (fma d d (* c c))))
0.5b	(fma a c (* b d))
18.2b	(/ (fma a c (* b d)) (hypot d c))
29.2b	(sqrt (fma d d (* c c)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
91×	`add-sqr-sqrt`
90×	`*-un-lft-identity` `add-cube-cbrt`
45×	`sqrt-prod`
16×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*` `div-inv`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

8.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (sqrt (fma d d (* c c))))
0.0ms	(fma a c (* b d))
4.0ms	(/ (fma a c (* b d)) (hypot d c))
1.0ms	(sqrt (fma d d (* c c)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (sqrt (fma d d (* c c))))
59.0ms	(fma a c (* b d))
128.0ms	(/ (fma a c (* b d)) (hypot d c))
55.0ms	(sqrt (fma d d (* c c)))

simplify890.0ms

Counts

185 → 185

Iterations

Iter	Nodes
3	2998
2	1040
1	464
0	230

prune2.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 14.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot d c)
0.1b	(/ (/ (fma a c (* b d)) (hypot d c)) (hypot d c))
0.5b	(fma a c (* b d))
18.2b	(/ (fma a c (* b d)) (hypot d c))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`hypot-udef` `fma-udef` `associate-/l/`

Counts

4 → 125

Calls

4 calls:

0.0ms	(hypot d c)
15.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (hypot d c))
0.0ms	(fma a c (* b d))
4.0ms	(/ (fma a c (* b d)) (hypot d c))

series401.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(hypot d c)
138.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (hypot d c))
57.0ms	(fma a c (* b d))
145.0ms	(/ (fma a c (* b d)) (hypot d c))

simplify1.1s

Counts

137 → 137

Iterations

Iter	Nodes
3	3595
2	911
1	353
0	170

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.6b

regimes341.0ms

Accuracy

16.1% (8.9b remaining)

Error of 14.6b against oracle of 5.7b and baseline of 16.3b

bsearch81.0ms

Steps

Iters	Range		Point
9	1.5003900196443502e+89	1.3503841771177545e+95	9.936266958075772e+94

simplify4.0ms

Iterations

Iter	Nodes
2	18
1	18
0	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

8467×

body

valid