Details

sample554.0ms

Algorithm

intervals

Results

186.0ms	122×	body	1280	valid
182.0ms	70×	body	2560	valid
104.0ms	51×	body	10240	exit
24.0ms	26×	body	640	valid
15.0ms	307×	pre	80	true
6.0ms	12×	body	320	valid
4.0ms	23×	body	80	valid
2.0ms	3×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
5	3964
4	642
3	191
2	80
1	46
0	17

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ a b) eps)
4.3b	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
9.5b	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
15.2b	(/ eps (expm1 (* eps a)))

rewrite80.0ms

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:

31.0ms	(* (+ a b) eps)
29.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
9.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
9.0ms	(/ eps (expm1 (* eps a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ a b) eps)
959.0ms	(* (/ (expm1 (* (+ a b) eps)) (expm1 (* eps b))) (/ eps (expm1 (* eps a))))
117.0ms	(/ (expm1 (* (+ a b) eps)) (expm1 (* eps b)))
50.0ms	(/ eps (expm1 (* eps a)))

simplify2.9s

Counts

150 → 150

Iterations

Iter	Nodes
3	6769
2	1896
1	578
0	220

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify2.0s

Counts

38 → 38

Iterations

Iter	Nodes
5	3732
4	1553
3	687
2	313
1	109
0	43

prune337.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

14.4b

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

rewrite31.0ms

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:

31.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify3.4s

Counts

31 → 31

Iterations

Iter	Nodes
4	5368
3	1636
2	476
1	148
0	58

prune304.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ a b) eps)
4.8b	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a))))
14.0b	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
15.2b	(/ eps (expm1 (* eps a)))

rewrite79.0ms

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:

17.0ms	(* (+ a b) eps)
27.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a))))
25.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
9.0ms	(/ eps (expm1 (* eps a)))

series810.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (+ a b) eps)
144.0ms	(* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a))))
592.0ms	(/ (* (expm1 (* (+ a b) eps)) (/ eps (expm1 (* eps a)))) (expm1 (* eps b)))
46.0ms	(/ eps (expm1 (* eps a)))

simplify3.1s

Counts

128 → 128

Iterations

Iter	Nodes
3	7659
2	1601
1	478
0	195

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes189.0ms

Accuracy

-15.7% (4.0b remaining)

Error of 4.0b against oracle of 0.0b and baseline of 3.4b

bsearch207.0ms

Steps

Iters	Range		Point
6	-1.0161049522614249e+137	-2.3164095965681255e+136	-4.923527264493171e+136

simplify5.0ms

Iterations

Iter	Nodes
2	28
1	28
0	20

end0.0ms

sample20.4s

Algorithm

intervals

Results

6.2s	2614×	body	2560	valid
6.0s	3394×	body	1280	valid
5.2s	1957×	body	10240	exit
1.1s	1054×	body	640	valid
1.0s	9959×	pre	80	true
307.0ms	351×	body	320	valid
119.0ms	460×	body	80	valid
52.0ms	129×	body	160	valid