Details

sample551.0ms

Algorithm

intervals

Results

198.0ms	96×	body	2560	valid
179.0ms	98×	body	1280	valid
92.0ms	48×	body	10240	exit
29.0ms	32×	body	640	valid
15.0ms	305×	pre	80	true
10.0ms	15×	body	320	valid
3.0ms	6×	body	160	valid
2.0ms	10×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
0.1b	(* (expm1 (* (+ a b) eps)) eps)
0.3b	(* (expm1 (* eps b)) (expm1 (* eps a)))
41.0b	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`expm1-log1p` `clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l` `expm1-udef`

Counts

4 → 78

Calls

4 calls:

0.0ms	(expm1 (* (+ a b) eps))
6.0ms	(* (expm1 (* (+ a b) eps)) eps)
6.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
15.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

series876.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(expm1 (* (+ a b) eps))
115.0ms	(* (expm1 (* (+ a b) eps)) eps)
72.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
614.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

simplify1.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
3	2001
2	1711
1	346
0	137

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify1.0s

Counts

38 → 38

Iterations

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

prune280.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
114×	`cbrt-prod`
81×	`distribute-lft-out`
60×	`div-inv`
42×	`times-frac`
37×	`add-sqr-sqrt`
33×	`cbrt-div` `swap-sqr`
29×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3-+` `frac-add` `flip-+`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-l/` `associate-r/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 171

Calls

4 calls:

97.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
7.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
6.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
7.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
126.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
92.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
106.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

simplify1.1s

Counts

183 → 183

Iterations

Iter	Nodes
done	2007
3	2007
2	1244
1	438
0	184

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
4.6b	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
10.3b	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
19.7b	(/ eps (expm1 (* eps a)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
6×	`pow1` `cbrt-undiv` `associate-/r` `div-exp` `associate-/l`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `expm1-udef`
1×	`frac-times` `expm1-log1p` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 126

Calls

4 calls:

0.0ms	(expm1 (* (+ a b) eps))
15.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
4.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
4.0ms	(/ eps (expm1 (* eps a)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(expm1 (* (+ a b) eps))
569.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
104.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
45.0ms	(/ eps (expm1 (* eps a)))

simplify1.2s

Counts

138 → 138

Iterations

Iter	Nodes
done	2003
3	2003
2	1709
1	515
0	197

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes154.0ms

Accuracy

0% (3.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample17.0s

Algorithm

intervals

Results

5.0s	2587×	body	2560	valid
4.9s	3430×	body	1280	valid
4.9s	1996×	body	10240	exit
888.0ms	1066×	body	640	valid
614.0ms	9999×	pre	80	true
220.0ms	361×	body	320	valid
62.0ms	419×	body	80	valid
44.0ms	140×	body	160	valid