Details

sample523.0ms

Algorithm

intervals

Results

153.0ms	115×	body	1280	valid
151.0ms	85×	body	2560	valid
151.0ms	68×	body	10240	exit
21.0ms	32×	body	640	valid
13.0ms	324×	pre	80	true
4.0ms	10×	body	320	valid
2.0ms	7×	body	160	valid
1.0ms	7×	body	80	valid

simplify2.0s

Counts: 1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.2b

localize63.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (exp (* (+ a b) eps)) 1)
4.1b	(- (exp (* b eps)) 1)
3.6b	(- (exp (* a eps)) 1)
0.5b	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
10×	`add-log-exp` `difference-of-squares`
9×	`flip3--` `flip--`
7×	`associate-r` `associate-l`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sub-neg` `difference-of-sqr-1` `distribute-lft-out--`
4×	`frac-times` `insert-posit16`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

Slowest

110.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
31.0ms	(- (exp (* (+ a b) eps)) 1)
17.0ms	(- (exp (* b eps)) 1)
11.0ms	(- (exp (* a eps)) 1)

series238.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

75.0ms	(- (exp (* (+ a b) eps)) 1)
58.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
55.0ms	(- (exp (* b eps)) 1)
49.0ms	(- (exp (* a eps)) 1)

simplify2.1s

Counts: 102 → 102

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 45.9b

localize112.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (exp (* (+ a b) eps)) 1)
4.2b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* b (* (* 1/6 eps) (* (* eps b) (* eps b)))) (* eps b)) (* (* (* eps b) (* eps b)) 1/2))))
3.6b	(- (exp (* a eps)) 1)
3.2b	(* b (* (* 1/6 eps) (* (* eps b) (* eps b))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

69×	`add-cbrt-cube` `add-exp-log`
57×	`pow1`
46×	`prod-exp` `cbrt-unprod`
42×	`pow-prod-down`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
8×	`associate-/r/` `add-log-exp`
6×	`flip3--` `flip--`
5×	`add-cube-cbrt`
4×	`frac-times` `cbrt-undiv` `div-exp` `associate-*r/` `insert-posit16` `difference-of-squares`
3×	`flip3-+` `associate-l` `flip-+`
2×	`sub-neg` `diff-log` `difference-of-sqr-1` `associate-*l/` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `associate-r` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 112

Calls

4 calls:

Slowest

964.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* b (* (* 1/6 eps) (* (* eps b) (* eps b)))) (* eps b)) (* (* (* eps b) (* eps b)) 1/2))))
209.0ms	(* b (* (* 1/6 eps) (* (* eps b) (* eps b))))
18.0ms	(- (exp (* a eps)) 1)
15.0ms	(- (exp (* (+ a b) eps)) 1)

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

1.7s	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* b (* (* 1/6 eps) (* (* eps b) (* eps b)))) (* eps b)) (* (* (* eps b) (* eps b)) 1/2))))
82.0ms	(* b (* (* 1/6 eps) (* (* eps b) (* eps b))))
57.0ms	(- (exp (* (+ a b) eps)) 1)
46.0ms	(- (exp (* a eps)) 1)

simplify2.4s

Counts: 124 → 124

prune2.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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

25.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

20.0ms

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

simplify2.0s

Counts: 23 → 23

prune264.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

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))))

rewrite93.0ms

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

70.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
7.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
6.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
6.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
117.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
112.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
93.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

simplify1.4s

Counts: 175 → 175

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes294.0ms

Accuracy

0% (3.3b remaining)

Error of 3.6b against oracle of 0.2b and baseline of 3.6b

bsearch2.0ms

end0.0ms

sample19.6s

Algorithm

intervals

Results

6.6s	2520×	body	2560	valid
4.8s	3506×	body	1280	valid
4.5s	1920×	body	10240	exit
2.2s	1011×	body	640	valid
668.0ms	9923×	pre	80	true
268.0ms	347×	body	320	valid
87.0ms	471×	body	80	valid
80.0ms	148×	body	160	valid