Details

sample469.0ms

Algorithm

intervals

Results

167.0ms	114×	body	1280	valid
135.0ms	85×	body	2560	valid
104.0ms	57×	body	10240	exit
25.0ms	33×	body	640	valid
12.0ms	313×	pre	80	true
2.0ms	5×	body	320	valid
2.0ms	15×	body	80	valid
2.0ms	4×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5007
4	793
3	212
2	86
1	46
0	17

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
5.3b	(/ (/ eps (expm1 (* eps a))) (/ (expm1 (* eps b)) (expm1 (* (+ a b) eps))))
11.8b	(/ (expm1 (* eps b)) (expm1 (* (+ a b) eps)))
17.4b	(/ eps (expm1 (* eps a)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

439×	`times-frac`
216×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
31×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
19×	`associate-/r` `associate-/l`
10×	`cbrt-undiv` `div-exp`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`expm1-udef`
1×	`expm1-log1p` `div-sub` `associate-/r/` `associate-/l/`

Counts

4 → 291

Calls

4 calls:

0.0ms	(expm1 (* (+ a b) eps))
13.0ms	(/ (/ eps (expm1 (* eps a))) (/ (expm1 (* eps b)) (expm1 (* (+ a b) eps))))
4.0ms	(/ (expm1 (* eps b)) (expm1 (* (+ a b) eps)))
7.0ms	(/ eps (expm1 (* eps a)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(expm1 (* (+ a b) eps))
218.0ms	(/ (/ eps (expm1 (* eps a))) (/ (expm1 (* eps b)) (expm1 (* (+ a b) eps))))
121.0ms	(/ (expm1 (* eps b)) (expm1 (* (+ a b) eps)))
57.0ms	(/ eps (expm1 (* eps a)))

simplify1.5s

Counts

303 → 303

Iterations

Iter	Nodes
done	5000
1	1531
0	499

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 a) (/ 1 b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
13×	`fma-def`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`distribute-lft-out`
5×	`div-inv`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

1 → 35

Calls

1 calls:

22.0ms

(+ (/ 1 a) (/ 1 b))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(+ (/ 1 a) (/ 1 b))

simplify3.7s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
5	4550
4	1758
3	724
2	318
1	111
0	43

prune132.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

16.0b

(/ (+ b a) (* a b))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

25.0ms

(/ (+ b a) (* a b))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(/ (+ b a) (* a b))

simplify2.2s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
3	2091
2	557
1	151
0	59

prune124.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
5.3b	(/ (/ (expm1 (* eps b)) (expm1 (* (+ a b) eps))) (/ eps (expm1 (* eps a))))
11.8b	(/ (expm1 (* eps b)) (expm1 (* (+ a b) eps)))
17.4b	(/ eps (expm1 (* eps a)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

439×	`times-frac`
216×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
31×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
19×	`associate-/r` `associate-/l`
10×	`cbrt-undiv` `div-exp`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `div-sub` `expm1-udef`
1×	`expm1-log1p` `associate-/r/` `associate-/l/`

Counts

4 → 292

Calls

4 calls:

1.0ms	(expm1 (* (+ a b) eps))
19.0ms	(/ (/ (expm1 (* eps b)) (expm1 (* (+ a b) eps))) (/ eps (expm1 (* eps a))))
9.0ms	(/ (expm1 (* eps b)) (expm1 (* (+ a b) eps)))
8.0ms	(/ eps (expm1 (* eps a)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(expm1 (* (+ a b) eps))
267.0ms	(/ (/ (expm1 (* eps b)) (expm1 (* (+ a b) eps))) (/ eps (expm1 (* eps a))))
123.0ms	(/ (expm1 (* eps b)) (expm1 (* (+ a b) eps)))
51.0ms	(/ eps (expm1 (* eps a)))

simplify1.6s

Counts

304 → 304

Iterations

Iter	Nodes
done	5001
1	1563
0	499

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

-7.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.9b

bsearch681.0ms

Steps

Iters	Range		Point
7	4.345902920943977e+282	4.055480039337506e+284	2.194671702223418e+284
6	9.677637521764628e+229	1.1708472575065159e+231	9.918390622765604e+229

simplify5.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample18.7s

Algorithm

intervals

Results

5.9s	2592×	body	2560	valid
5.4s	3421×	body	1280	valid
5.0s	1994×	body	10240	exit
1.1s	1100×	body	640	valid
557.0ms	9995×	pre	80	true
208.0ms	383×	body	320	valid
126.0ms	389×	body	80	valid
43.0ms	116×	body	160	valid