Details

sample333.0ms

Algorithm

intervals

Results

139.0ms	70×	body	10240	exit
69.0ms	54×	body	1280	valid
61.0ms	309×	body	80	valid
33.0ms	43×	body	640	valid
10.0ms	17×	body	320	valid
2.0ms	7×	body	160	valid

simplify571.0ms

Calls

1 calls:

Slowest

571.0ms

(/ (- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x))))) 2)

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize70.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))
0.0b	(exp (- (* (- 1 eps) x)))
0.0b	(exp (- (* (+ 1 eps) x)))
0.0b	(* (+ 1 eps) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub`
74×	`exp-neg`
72×	`frac-times`
56×	`neg-sub0` `exp-diff`
38×	`associate-*l/`
36×	`associate-*r/`
28×	`flip3-+` `flip3--` `flip-+` `flip--`
18×	`un-div-inv`
12×	`exp-prod`
10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `rem-exp-log`
3×	`associate-l`
2×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `neg-log`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `*-commutative`

Calls

4 calls:

Slowest

32.0ms	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))
4.0ms	(exp (- (* (+ 1 eps) x)))
4.0ms	(exp (- (* (- 1 eps) x)))
3.0ms	(* (+ 1 eps) x)

series176.0ms

Calls

4 calls:

Slowest

128.0ms	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))
21.0ms	(* (+ 1 eps) x)
14.0ms	(exp (- (* (+ 1 eps) x)))
14.0ms	(exp (- (* (- 1 eps) x)))

simplify52.5s

Calls

198 calls:

Slowest

691.0ms	(- (* (* (- (* 1 1) (* (/ 1 eps) (/ 1 eps))) (exp 0)) (exp (* (+ 1 eps) x))) (* (* (- 1 (/ 1 eps)) (exp (* (- 1 eps) x))) (* (- (/ 1 eps) 1) 1)))
685.0ms	(* (+ (* 1 1) (- (* (/ 1 eps) (/ 1 eps)) (* 1 (/ 1 eps)))) (+ (/ 1 eps) 1))
640.0ms	(* (* (- 1 (/ 1 eps)) (exp (* (- 1 eps) x))) (+ (* (/ 1 eps) (/ 1 eps)) (+ (* 1 1) (* (/ 1 eps) 1))))
598.0ms	(- (* (* (+ 1 (/ 1 eps)) 1) (+ (/ 1 eps) 1)) (* (exp (* (- 1 eps) x)) (* (- (* (/ 1 eps) (/ 1 eps)) (* 1 1)) (exp (- (* (+ 1 eps) x))))))
598.0ms	(* (* (- 1 (/ 1 eps)) (exp (* (- 1 eps) x))) (+ (/ 1 eps) 1))

prune2.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 2 expressions with local error:

6.4b	(fma (* x x) (* 2/3 x) (- 2 (* x x)))
0.4b	(* 2/3 x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`*-commutative` `fma-udef`

Calls

2 calls:

Slowest

0.0ms	(fma (* x x) (* 2/3 x) (- 2 (* x x)))
0.0ms	(* 2/3 x)

series34.0ms

Calls

2 calls:

Slowest

18.0ms	(fma (* x x) (* 2/3 x) (- 2 (* x x)))
16.0ms	(* 2/3 x)

simplify396.0ms

Calls

6 calls:

Slowest

153.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
139.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
92.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
3.0ms	(* 2/3 x)
3.0ms	(* 2/3 x)

prune253.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize1.0ms

Local error

Found 2 expressions with local error:

6.4b	(fma (* x x) (* 2/3 x) (- 2 (* x x)))
0.4b	(* 2/3 x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`*-commutative` `fma-udef`

Calls

2 calls:

Slowest

0.0ms	(fma (* x x) (* 2/3 x) (- 2 (* x x)))
0.0ms	(* 2/3 x)

series30.0ms

Calls

2 calls:

Slowest

19.0ms	(fma (* x x) (* 2/3 x) (- 2 (* x x)))
10.0ms	(* 2/3 x)

simplify446.0ms

Calls

6 calls:

Slowest

172.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
142.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
113.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
6.0ms	(* 2/3 x)
5.0ms	(* 2/3 x)

prune252.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

6.4b	(fma (* x x) (* 2/3 x) (- 2 (* x x)))
3.6b	(posit16->real (real->posit16 (fma (* x x) (* 2/3 x) (- 2 (* x x)))))
0.4b	(* 2/3 x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`*-commutative` `fma-udef` `remove-posit16`

Calls

3 calls:

Slowest

0.0ms	(fma (* x x) (* 2/3 x) (- 2 (* x x)))
0.0ms	(* 2/3 x)
0.0ms	(posit16->real (real->posit16 (fma (* x x) (* 2/3 x) (- 2 (* x x)))))

series52.0ms

Calls

3 calls:

Slowest

23.0ms	(posit16->real (real->posit16 (fma (* x x) (* 2/3 x) (- 2 (* x x)))))
16.0ms	(fma (* x x) (* 2/3 x) (- 2 (* x x)))
12.0ms	(* 2/3 x)

simplify802.0ms

Calls

10 calls:

Slowest

153.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
150.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
136.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
123.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))
112.0ms	(- (+ (* 2/3 (pow x 3)) 2) (pow x 2))

prune908.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes140.0ms

Accuracy

96.1% (0.6b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 16.5b

bsearch347.0ms

end0.0ms

sample11.3s

Algorithm

intervals

Results

3.8s	1919×	body	10240	exit
2.8s	1743×	body	1280	valid
2.7s	9989×	body	80	valid
1.2s	1237×	body	640	valid
422.0ms	651×	body	320	valid
114.0ms	315×	body	160	valid