Details

sample526.0ms

Algorithm

intervals

Results

187.0ms	126×	body	1280	valid
130.0ms	70×	body	2560	valid
110.0ms	59×	body	10240	exit
29.0ms	16×	body	80	valid
23.0ms	29×	body	640	valid
14.0ms	315×	pre	80	true
7.0ms	13×	body	320	valid
1.0ms	2×	body	160	valid

simplify950.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ a b) eps)
0.0b	(* (expm1 (* eps b)) (expm1 (* eps a)))
0.1b	(* (expm1 (* (+ a b) eps)) eps)
38.8b	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

rewrite61.0ms

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:

21.0ms	(* (+ a b) eps)
8.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
9.0ms	(* (expm1 (* (+ a b) eps)) eps)
21.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

series787.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ a b) eps)
64.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
112.0ms	(* (expm1 (* (+ a b) eps)) eps)
577.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

simplify1.3s

Counts

102 → 102

Iterations

Iter	Nodes
done	2000
3	2000
2	1924
1	414
0	158

prune467.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

13.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify1.1s

Counts

38 → 38

Iterations

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

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

14.8b

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

rewrite20.0ms

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:

20.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify957.0ms

Counts

31 → 31

Iterations

Iter	Nodes
done	2055
4	2055
3	1636
2	476
1	148
0	58

prune125.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (fma b eps (* eps a)))
6.2b	(* (expm1 (* eps b)) (/ (expm1 (* eps a)) eps))
17.1b	(/ (expm1 (* eps a)) eps)
21.2b	(/ (* (expm1 (* eps b)) (/ (expm1 (* eps a)) eps)) (expm1 (fma b eps (* eps a))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

0.0ms	(expm1 (fma b eps (* eps a)))
13.0ms	(* (expm1 (* eps b)) (/ (expm1 (* eps a)) eps))
8.0ms	(/ (expm1 (* eps a)) eps)
21.0ms	(/ (* (expm1 (* eps b)) (/ (expm1 (* eps a)) eps)) (expm1 (fma b eps (* eps a))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(expm1 (fma b eps (* eps a)))
112.0ms	(* (expm1 (* eps b)) (/ (expm1 (* eps a)) eps))
49.0ms	(/ (expm1 (* eps a)) eps)
264.0ms	(/ (* (expm1 (* eps b)) (/ (expm1 (* eps a)) eps)) (expm1 (fma b eps (* eps a))))

simplify1.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	2006
3	2006
2	1736
1	469
0	189

prune623.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 3.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample20.8s

Algorithm

intervals

Results

8.0s	2582×	body	2560	valid
5.4s	3405×	body	1280	valid
4.7s	2008×	body	10240	exit
1.2s	1053×	body	640	valid
614.0ms	10009×	pre	80	true
313.0ms	345×	body	320	valid
123.0ms	475×	body	80	valid
56.0ms	141×	body	160	valid