Details

Time bar (total: 3.8m)

sample125.0ms

Algorithm
intervals
Results
62.0ms129×body160valid
30.0ms127×body80valid

simplify453.0ms

Calls
1 calls:
Slowest
452.0ms
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize84.0ms

Local error

Found 4 expressions with local error:

14.2b
(- 1 (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))
0.5b
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
0.2b
(/ 1.061405429 (fma 0.3275911 (fabs x) 1))
0.1b
(/ 1 (fma 0.3275911 (fabs x) 1))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
347×add-sqr-sqrt
345×times-frac
271×*-un-lft-identity
253×add-cube-cbrt
228×prod-diff
117×associate-*l*
33×unswap-sqr
27×associate-*r*
14×div-inv
10×add-exp-log difference-of-squares
9×*-commutative
8×add-cbrt-cube
6×associate-/r* associate-/l* add-log-exp
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×fma-neg div-exp
2×cbrt-undiv clear-num frac-2neg
1×rec-exp sub-neg flip3-- diff-log 1-exp fma-udef pow-flip flip-- distribute-lft-out-- inv-pow
Calls
4 calls:
Slowest
62.0ms
(- 1 (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))
6.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
4.0ms
(/ 1.061405429 (fma 0.3275911 (fabs x) 1))
0.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)

series922.0ms

Calls
4 calls:
Slowest
521.0ms
(- 1 (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))
321.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
43.0ms
(/ 1.061405429 (fma 0.3275911 (fabs x) 1))
38.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))

simplify3.1m

Calls
544 calls:
Slowest
1.1s
(fma (- (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))) (/ 1 1) (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ 1 1)))
1.1s
(fma (sqrt 1) (sqrt 1) (- (* (/ (* (/ (sqrt 1) (sqrt (fma 0.3275911 (fabs x) 1))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (/ (sqrt 1) (sqrt (fma 0.3275911 (fabs x) 1))) 1))))
977.0ms
(fma 1 1 (- (* (/ (* (/ (sqrt 1) (sqrt (fma 0.3275911 (fabs x) 1))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (/ (sqrt 1) (sqrt (fma 0.3275911 (fabs x) 1))) 1))))
943.0ms
(fma 1 1 (- (* (/ (sqrt (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (sqrt (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))) 1))))
910.0ms
(fma (sqrt 1) (sqrt 1) (- (* (/ (sqrt (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (sqrt (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))) 1))))

prune7.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 14.1b

localize72.0ms

Local error

Found 4 expressions with local error:

14.2b
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
1.2b
(fma (- (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x)))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))) (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x)))))))
0.5b
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
0.5b
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Calls
4 calls:
Slowest
1.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
0.0ms
(fma (- (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x)))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))) (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x)))))))
0.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
0.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)

series2.3s

Calls
4 calls:
Slowest
1.0s
(fma (- (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x)))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))) (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x)))))))
556.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
370.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
339.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)

simplify3.6s

Calls
12 calls:
Slowest
626.0ms
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 0.254829592 (/ 1 (* (exp (pow (fabs x) 2)) (+ (* 0.3275911 (fabs x)) 1)))))))
571.0ms
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 0.254829592 (/ 1 (* (+ (* 0.3275911 (fabs x)) 1) (exp (pow (fabs x) 2))))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))))))
534.0ms
(- (+ (* 0.284496736 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 2) (exp (pow (fabs x) 2))))) (+ (* 1.453152027 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 4) (exp (pow (fabs x) 2))))) 1)) (+ (* 0.254829592 (/ 1 (* (+ (* 0.3275911 (fabs x)) 1) (exp (pow (fabs x) 2))))) (+ (* 1.421413741 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 3) (exp (pow (fabs x) 2))))) (* 1.061405429 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 5) (exp (pow (fabs x) 2))))))))
497.0ms
(- (+ (* 0.284496736 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 2) (exp (pow (fabs x) 2))))) (+ (* 1.453152027 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 4) (exp (pow (fabs x) 2))))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3))))))) (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 1.061405429 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 5) (exp (pow (fabs x) 2))))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) (* 1.421413741 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 3) (exp (pow (fabs x) 2)))))))))
291.0ms
(- (+ (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1) 4))) (+ (* 1.421413741 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1) 2))) 0.254829592)) (+ (* 0.284496736 (/ 1 (+ (* 0.3275911 (fabs x)) 1))) (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1) 3)))))

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 14.1b

localize46.0ms

Local error

Found 4 expressions with local error:

14.2b
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
14.2b
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
14.2b
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
1.2b
(fma (- (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x)))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))) (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x)))))))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Calls
4 calls:
Slowest
1.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
0.0ms
(fma (- (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x)))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))) (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x)))))))
0.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
0.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))

series2.7s

Calls
4 calls:
Slowest
1.1s
(fma (- (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x)))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))) (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x)))))))
555.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
542.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
542.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))

simplify6.1s

Calls
12 calls:
Slowest
1.1s
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 0.254829592 (/ 1 (* (exp (pow (fabs x) 2)) (+ (* 0.3275911 (fabs x)) 1)))))))
629.0ms
(- (+ (* 0.284496736 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 2) (exp (pow (fabs x) 2))))) (+ (* 1.453152027 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 4) (exp (pow (fabs x) 2))))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3))))))) (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 1.061405429 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 5) (exp (pow (fabs x) 2))))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) (* 1.421413741 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 3) (exp (pow (fabs x) 2)))))))))
624.0ms
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 0.254829592 (/ 1 (* (+ (* 0.3275911 (fabs x)) 1) (exp (pow (fabs x) 2))))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))))))
569.0ms
(- (+ (* 0.284496736 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 2) (exp (pow (fabs x) 2))))) (+ (* 1.453152027 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 4) (exp (pow (fabs x) 2))))) 1)) (+ (* 0.254829592 (/ 1 (* (+ (* 0.3275911 (fabs x)) 1) (exp (pow (fabs x) 2))))) (+ (* 1.421413741 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 3) (exp (pow (fabs x) 2))))) (* 1.061405429 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 5) (exp (pow (fabs x) 2))))))))
551.0ms
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 0.254829592 (/ 1 (* (exp (pow (fabs x) 2)) (+ (* 0.3275911 (fabs x)) 1)))))))

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.4b

localize53.0ms

Local error

Found 4 expressions with local error:

14.2b
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
14.2b
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
14.2b
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
14.2b
(log (exp (fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1 add-exp-log
4×expm1-log1p-u log-prod add-cbrt-cube log-pow fma-udef insert-posit16 log1p-expm1-u add-log-exp
3×exp-prod
2×rem-log-exp
1×exp-sum
Calls
4 calls:
Slowest
2.0ms
(log (exp (fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))))
0.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
0.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
0.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))

series2.2s

Calls
4 calls:
Slowest
612.0ms
(log (exp (fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))))
568.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
562.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))
473.0ms
(fma 1 1 (- (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (sqrt (exp (* (fabs x) (fabs x))))) (/ 1 (sqrt (exp (* (fabs x) (fabs x))))))))

simplify8.1s

Calls
20 calls:
Slowest
649.0ms
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 0.254829592 (/ 1 (* (exp (pow (fabs x) 2)) (+ (* 0.3275911 (fabs x)) 1)))))))
625.0ms
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 0.254829592 (/ 1 (* (exp (pow (fabs x) 2)) (+ (* 0.3275911 (fabs x)) 1)))))))
570.0ms
(- (+ (* 0.284496736 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 2) (exp (pow (fabs x) 2))))) (+ (* 1.453152027 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 4) (exp (pow (fabs x) 2))))) 1)) (+ (* 0.254829592 (/ 1 (* (+ (* 0.3275911 (fabs x)) 1) (exp (pow (fabs x) 2))))) (+ (* 1.421413741 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 3) (exp (pow (fabs x) 2))))) (* 1.061405429 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 5) (exp (pow (fabs x) 2))))))))
557.0ms
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 0.254829592 (/ 1 (* (+ (* 0.3275911 (fabs x)) 1) (exp (pow (fabs x) 2))))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))))))
550.0ms
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 0.254829592 (/ 1 (* (exp (pow (fabs x) 2)) (+ (* 0.3275911 (fabs x)) 1)))))))

prune2.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.3b

regimes203.0ms

Accuracy

0% (0.1b remaining)

Error of 13.0b against oracle of 12.9b and baseline of 13.0b

bsearch26.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.4s3896×body160valid
1.0s4104×body80valid