Details

sample570.0ms

Algorithm

intervals

Results

211.0ms	81×	body	2560	valid
146.0ms	56×	body	10240	exit
131.0ms	105×	body	1280	valid
34.0ms	38×	body	640	valid
15.0ms	313×	pre	80	true
6.0ms	10×	body	320	valid
4.0ms	19×	body	80	valid
2.0ms	4×	body	160	valid

simplify531.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	694
3	215
2	98
1	43
0	17

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
3.4b	(- (exp (* b eps)) 1)
4.5b	(- (exp (* a eps)) 1)
6.2b	(- (exp (* (+ a b) eps)) 1)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
10×	`flip3--` `flip--` `add-log-exp`
8×	`associate-/r/`
6×	`difference-of-squares`
4×	`frac-times` `pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `add-cube-cbrt` `cbrt-unprod` `insert-posit16`
3×	`sub-neg` `diff-log` `difference-of-sqr-1` `distribute-lft-out--`
2×	`associate-*l/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 83

Calls

4 calls:

48.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
11.0ms	(- (exp (* b eps)) 1)
16.0ms	(- (exp (* a eps)) 1)
12.0ms	(- (exp (* (+ a b) eps)) 1)

series382.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
51.0ms	(- (exp (* b eps)) 1)
44.0ms	(- (exp (* a eps)) 1)
57.0ms	(- (exp (* (+ a b) eps)) 1)

simplify700.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	2001
1	510
0	182

prune553.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`distribute-lft-out`
6×	`times-frac`
4×	`div-inv`
3×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
1×	`pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16`

Counts

1 → 20

Calls

1 calls:

20.0ms

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

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify854.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	2012
4	1333
3	593
2	278
1	105
0	41

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite111.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 163

Calls

4 calls:

82.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
12.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
7.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
7.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
112.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
89.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
112.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

simplify676.0ms

Counts

175 → 175

Iterations

Iter	Nodes
done	2003
2	1136
1	426
0	180

prune696.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.6b	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
0.6b	(cbrt (* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b)))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-div`
44×	`cbrt-prod` `*-un-lft-identity`
21×	`distribute-lft-out`
18×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`div-inv`
11×	`flip3-+` `frac-add` `flip-+`
9×	`frac-times`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`associate-l/` `associate-r/`

Counts

4 → 94

Calls

4 calls:

13.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
13.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
14.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
33.0ms	(cbrt (* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b)))))

series606.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
125.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
158.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
210.0ms	(cbrt (* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b)))))

simplify838.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	2001
2	1594
1	494
0	229

prune614.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (3.2b remaining)

Error of 3.3b against oracle of 0.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample19.2s

Algorithm

intervals

Results

5.9s	2704×	body	2560	valid
5.6s	3369×	body	1280	valid
5.1s	1985×	body	10240	exit
930.0ms	1039×	body	640	valid
885.0ms	9989×	pre	80	true
227.0ms	341×	body	320	valid
79.0ms	447×	body	80	valid
36.0ms	104×	body	160	valid