Details

sample95.0ms

Algorithm

intervals

Results

18.0ms	36×	body	2560	valid
14.0ms	176×	body	80	valid
13.0ms	33×	body	1280	valid
7.0ms	79×	body	80	nan
6.0ms	20×	body	640	valid
4.0ms	6×	body	5120	valid
2.0ms	9×	body	320	valid
0.0ms	3×	body	160	valid

simplify37.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	49
4	49
3	46
2	33
1	19
0	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- a) c (* b_2 b_2))
0.1b	(/ (- (- b_2) (sqrt (fma (- a) c (* b_2 b_2)))) a)
1.6b	(- (- b_2) (sqrt (fma (- a) c (* b_2 b_2))))
24.4b	(sqrt (fma (- a) c (* b_2 b_2)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
78×	`*-un-lft-identity`
60×	`prod-diff`
58×	`add-cube-cbrt`
38×	`sqrt-prod`
26×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in` `times-frac`
10×	`fma-neg` `distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
7×	`neg-mul-1` `associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r*`
2×	`flip3--` `diff-log` `flip--` `associate-/l/`
1×	`associate--l-` `neg-sub0` `cbrt-undiv` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `neg-log` `fma-udef` `div-inv`

Counts

4 → 163

Calls

4 calls:

0.0ms	(fma (- a) c (* b_2 b_2))
38.0ms	(/ (- (- b_2) (sqrt (fma (- a) c (* b_2 b_2)))) a)
16.0ms	(- (- b_2) (sqrt (fma (- a) c (* b_2 b_2))))
1.0ms	(sqrt (fma (- a) c (* b_2 b_2)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma (- a) c (* b_2 b_2))
132.0ms	(/ (- (- b_2) (sqrt (fma (- a) c (* b_2 b_2)))) a)
104.0ms	(- (- b_2) (sqrt (fma (- a) c (* b_2 b_2))))
101.0ms	(sqrt (fma (- a) c (* b_2 b_2)))

simplify1.3s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	1719
1	488
0	217

prune843.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.7b

localize6.0ms

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

prune45.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- c) a (* b_2 b_2))
0.1b	(/ (- (- b_2) (sqrt (fma (- c) a (* b_2 b_2)))) a)
1.6b	(- (- b_2) (sqrt (fma (- c) a (* b_2 b_2))))
24.4b	(sqrt (fma (- c) a (* b_2 b_2)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
78×	`*-un-lft-identity`
60×	`prod-diff`
58×	`add-cube-cbrt`
38×	`sqrt-prod`
26×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in` `times-frac`
10×	`fma-neg` `distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
7×	`neg-mul-1` `associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r*`
2×	`flip3--` `diff-log` `flip--` `associate-/l/`
1×	`associate--l-` `neg-sub0` `cbrt-undiv` `rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `neg-log` `fma-udef` `div-inv`

Counts

4 → 163

Calls

4 calls:

0.0ms	(fma (- c) a (* b_2 b_2))
56.0ms	(/ (- (- b_2) (sqrt (fma (- c) a (* b_2 b_2)))) a)
15.0ms	(- (- b_2) (sqrt (fma (- c) a (* b_2 b_2))))
1.0ms	(sqrt (fma (- c) a (* b_2 b_2)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma (- c) a (* b_2 b_2))
123.0ms	(/ (- (- b_2) (sqrt (fma (- c) a (* b_2 b_2)))) a)
116.0ms	(- (- b_2) (sqrt (fma (- c) a (* b_2 b_2))))
105.0ms	(sqrt (fma (- c) a (* b_2 b_2)))

simplify1.6s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	1727
1	490
0	219

prune657.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.7b

localize6.0ms

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

prune0.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.7b

regimes313.0ms

Accuracy

87.3% (4.3b remaining)

Error of 9.8b against oracle of 5.4b and baseline of 39.8b

bsearch133.0ms

Steps

Iters	Range		Point
9	2.1340360609407003e+79	6.102484722804822e+84	3.5836490410280977e+84
7	-9.115043480339618e-81	-4.065096274047288e-82	-2.27187581796005e-81

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	21

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	1066×	body	2560	valid
633.0ms	5798×	body	80	valid
312.0ms	921×	body	1280	valid
294.0ms	2878×	body	80	nan
118.0ms	458×	body	640	valid
46.0ms	238×	body	320	valid
42.0ms	85×	body	5120	valid
14.0ms	110×	body	160	valid