Details

sample550.0ms

Algorithm

intervals

Results

168.0ms	112×	body	1280	valid
165.0ms	89×	body	2560	valid
146.0ms	63×	body	10240	exit
28.0ms	37×	body	640	valid
14.0ms	319×	pre	80	true
5.0ms	8×	body	320	valid
1.0ms	8×	body	80	valid
1.0ms	2×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
5	2002
4	642
3	191
2	80
1	46
0	17

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ a b) eps)
0.1b	(* (expm1 (* (+ a b) eps)) eps)
0.6b	(* (expm1 (* eps b)) (expm1 (* eps a)))
41.2b	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

23.0ms	(* (+ a b) eps)
9.0ms	(* (expm1 (* (+ a b) eps)) eps)
9.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
23.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

series861.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ a b) eps)
123.0ms	(* (expm1 (* (+ a b) eps)) eps)
64.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
631.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

simplify1.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	2002
3	2002
2	1918
1	414
0	158

prune583.0ms

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))

rewrite19.0ms

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:

18.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify1.2s

Counts

38 → 38

Iterations

Iter	Nodes
done	2004
5	2004
4	1719
3	692
2	310
1	111
0	43

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (/ (expm1 (* eps b)) eps)))
5.1b	(* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (/ (expm1 (* eps b)) eps))
14.0b	(/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a))))
17.1b	(/ (expm1 (* eps b)) eps)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
48×	`add-sqr-sqrt`
43×	`times-frac`
38×	`add-cbrt-cube`
36×	`*-un-lft-identity` `add-cube-cbrt`
28×	`div-exp`
16×	`prod-exp`
15×	`cbrt-undiv`
13×	`associate-r` `associate-l`
9×	`pow1` `associate-/l*`
8×	`cbrt-unprod`
7×	`associate-/r*`
5×	`rec-exp` `1-exp` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `pow-flip` `expm1-udef`
1×	`*-commutative` `inv-pow`

Counts

4 → 161

Calls

4 calls:

24.0ms	(/ 1 (* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (/ (expm1 (* eps b)) eps)))
14.0ms	(* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (/ (expm1 (* eps b)) eps))
5.0ms	(/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a))))
4.0ms	(/ (expm1 (* eps b)) eps)

series649.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(/ 1 (* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (/ (expm1 (* eps b)) eps)))
262.0ms	(* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (/ (expm1 (* eps b)) eps))
123.0ms	(/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a))))
54.0ms	(/ (expm1 (* eps b)) eps)

simplify895.0ms

Counts

173 → 173

Iterations

Iter	Nodes
done	2001
2	2001
1	679
0	251

prune922.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* (* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (expm1 (* eps b))) (/ 1 eps)))
0.1b	(* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (expm1 (* eps b)))
14.0b	(/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a))))
29.1b	(* (* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (expm1 (* eps b))) (/ 1 eps))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log`
82×	`prod-exp`
68×	`div-exp`
61×	`add-cbrt-cube`
34×	`add-sqr-sqrt`
31×	`times-frac`
29×	`*-un-lft-identity` `add-cube-cbrt`
25×	`rec-exp` `1-exp`
22×	`cbrt-unprod`
19×	`cbrt-undiv`
17×	`pow1`
16×	`associate-r`
14×	`associate-l`
7×	`pow-prod-down` `associate-*l/`
6×	`associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-flip`
2×	`frac-times` `clear-num` `frac-2neg` `associate-r/` `un-div-inv` `-commutative` `unswap-sqr`
1×	`div-sub` `inv-pow` `expm1-udef`

Counts

4 → 189

Calls

4 calls:

58.0ms	(/ 1 (* (* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (expm1 (* eps b))) (/ 1 eps)))
10.0ms	(* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (expm1 (* eps b)))
12.0ms	(/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a))))
41.0ms	(* (* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (expm1 (* eps b))) (/ 1 eps))

series781.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(/ 1 (* (* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (expm1 (* eps b))) (/ 1 eps)))
178.0ms	(* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (expm1 (* eps b)))
111.0ms	(/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a))))
222.0ms	(* (* (/ (expm1 (* eps a)) (expm1 (fma b eps (* eps a)))) (expm1 (* eps b))) (/ 1 eps))

simplify984.0ms

Counts

201 → 201

Iterations

Iter	Nodes
done	2000
2	2000
1	731
0	270

prune880.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (3.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample19.9s

Algorithm

intervals

Results

6.3s	2652×	body	2560	valid
5.8s	3360×	body	1280	valid
4.9s	1886×	body	10240	exit
1.1s	1054×	body	640	valid
966.0ms	9889×	pre	80	true
255.0ms	368×	body	320	valid
87.0ms	142×	body	160	valid
81.0ms	427×	body	80	valid