Details

sample410.0ms

Algorithm

intervals

Results

164.0ms	81×	body	2560	valid
105.0ms	106×	body	1280	valid
78.0ms	38×	body	10240	exit
26.0ms	38×	body	640	valid
11.0ms	294×	pre	80	true
6.0ms	14×	body	320	valid
2.0ms	13×	body	80	valid
1.0ms	4×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3983
4	642
3	191
2	80
1	46
0	17

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ a b) eps)
4.1b	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
11.0b	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
19.0b	(/ eps (expm1 (* eps a)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
22×	`add-cbrt-cube` `add-exp-log`
17×	`associate-l`
16×	`associate-r`
8×	`pow1`
6×	`cbrt-undiv` `associate-/r` `div-exp` `associate-/l`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`frac-times` `flip3-+` `div-sub` `associate-*r/` `flip-+` `distribute-lft-out` `expm1-udef`

Counts

4 → 138

Calls

4 calls:

22.0ms	(* (+ a b) eps)
26.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
12.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
8.0ms	(/ eps (expm1 (* eps a)))

series676.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (+ a b) eps)
483.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
111.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
54.0ms	(/ eps (expm1 (* eps a)))

simplify1.8s

Counts

150 → 150

Iterations

Iter	Nodes
done	5001
2	2039
1	584
0	220

prune750.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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

prune4.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ a b) eps)
7.3b	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a))))
14.8b	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
19.0b	(/ eps (expm1 (* eps a)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

25.0ms	(* (+ a b) eps)
15.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a))))
20.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
7.0ms	(/ eps (expm1 (* eps a)))

series878.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ a b) eps)
146.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a))))
619.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
75.0ms	(/ eps (expm1 (* eps a)))

simplify1.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1672
1	483
0	195

prune628.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample18.8s

Algorithm

intervals

Results

6.2s	2619×	body	2560	valid
5.0s	3428×	body	1280	valid
4.8s	1908×	body	10240	exit
1.4s	1041×	body	640	valid
600.0ms	9909×	pre	80	true
241.0ms	339×	body	320	valid
75.0ms	427×	body	80	valid
56.0ms	147×	body	160	valid