Details

sample551.0ms

Algorithm

intervals

Results

162.0ms	56×	body	10240	exit
161.0ms	74×	body	2560	valid
147.0ms	115×	body	1280	valid
28.0ms	35×	body	640	valid
14.0ms	312×	pre	80	true
9.0ms	15×	body	320	valid
4.0ms	10×	body	160	valid
1.0ms	7×	body	80	valid

simplify1.9s

Counts: 1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.2b

localize32.0ms

Local error

Found 4 expressions with local error:

3.7b	(- (exp (* (+ a b) eps)) 1)
3.1b	(- (exp (* b eps)) 1)
2.9b	(- (exp (* a eps)) 1)
0.5b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

rewrite101.0ms

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:

Slowest

45.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
20.0ms	(- (exp (* b eps)) 1)
19.0ms	(- (exp (* (+ a b) eps)) 1)
17.0ms	(- (exp (* a eps)) 1)

series382.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

249.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
49.0ms	(- (exp (* (+ a b) eps)) 1)
47.0ms	(- (exp (* b eps)) 1)
36.0ms	(- (exp (* a eps)) 1)

simplify1.0s

Counts: 95 → 95

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

Slowest

19.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

19.0ms

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

simplify1.6s

Counts: 23 → 23

prune207.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

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:

Slowest

94.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
12.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
6.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
6.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

132.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
124.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
114.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
103.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

simplify1.4s

Counts: 175 → 175

prune1.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

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:

Slowest

34.0ms	(cbrt (* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b)))))
15.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
6.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
6.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

234.0ms	(cbrt (* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b)))))
179.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
108.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
100.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

simplify2.3s

Counts: 106 → 106

prune1.5s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes215.0ms

Accuracy

0% (3.5b remaining)

Error of 3.6b against oracle of 0.1b and baseline of 3.6b

bsearch1.0ms

end0.0ms

sample20.0s

Algorithm

intervals

Results

6.4s	2641×	body	2560	valid
6.0s	3420×	body	1280	valid
4.7s	2011×	body	10240	exit
965.0ms	1022×	body	640	valid
724.0ms	320×	body	320	valid
625.0ms	10014×	pre	80	true
92.0ms	487×	body	80	valid
66.0ms	113×	body	160	valid