Details

Time bar (total: 2.8m)

sample139.0ms

Algorithm
intervals
Results
67.0ms120×body160valid
29.0ms136×body80valid

simplify2.1s

Counts
1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.3b

localize57.0ms

Local error

Found 4 expressions with local error:

13.2b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (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)))
0.4b
(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 (fma 0.3275911 (fabs x) 1))
0.2b
(/ 1 (fma 0.3275911 (fabs x) 1))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
12×add-exp-log
8×add-cbrt-cube
6×pow1 associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
3×fma-neg prod-diff fma-udef
2×cbrt-undiv rec-exp clear-num frac-2neg 1-exp div-inv pow-flip associate--r+ inv-pow
1×distribute-rgt-in sub-neg distribute-lft-in flip3-- diff-log flip--
Counts
4 → 102
Calls
4 calls:
Slowest
10.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (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)))
8.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
8.0ms
(/ 1 (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)

series902.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
467.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (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)
48.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
47.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))

simplify2.8s

Counts
114 → 114

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 13.2b

localize71.0ms

Local error

Found 4 expressions with local error:

13.2b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))) (sqrt (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)))
0.4b
(fma (fma (/ (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))) (sqrt (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 (sqrt (fma 0.3275911 (fabs x) 1))) (sqrt (fma 0.3275911 (fabs x) 1)))
0.2b
(/ 1 (fma 0.3275911 (fabs x) 1))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
267×times-frac
151×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
132×sqrt-prod
25×associate-/l*
17×add-exp-log
12×pow1
11×add-cbrt-cube
9×associate-/r* div-inv
8×div-exp
6×pow-flip add-log-exp pow-div
4×expm1-log1p-u cbrt-undiv sqrt-pow1 pow1/2 insert-posit16 log1p-expm1-u
3×fma-neg prod-diff fma-udef
2×rec-exp clear-num frac-2neg 1-exp associate--r+ inv-pow
1×distribute-rgt-in sub-neg distribute-lft-in flip3-- diff-log flip-- associate-/l/
Counts
4 → 254
Calls
4 calls:
Slowest
15.0ms
(/ (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))) (sqrt (fma 0.3275911 (fabs x) 1)))
5.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))) (sqrt (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)))
4.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
0.0ms
(fma (fma (/ (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))) (sqrt (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)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
532.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))) (sqrt (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)))
361.0ms
(fma (fma (/ (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))) (sqrt (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)
57.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
51.0ms
(/ (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))) (sqrt (fma 0.3275911 (fabs x) 1)))

simplify1.5s

Counts
266 → 266

prune4.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 13.2b

localize121.0ms

Local error

Found 4 expressions with local error:

13.2b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (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)))
0.4b
(fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (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
(/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))))))
0.2b
(/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
13667×times-frac
11917×sqrt-prod
5850×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
347×div-inv
180×associate-/r*
46×sqrt-pow1
31×pow1 associate-/l*
30×pow-div
28×sqrt-div associate-/r/
25×pow-flip
16×pow1/2
11×add-cbrt-cube add-exp-log
6×add-log-exp
5×inv-pow
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×sqrt-undiv fma-neg prod-diff fma-udef
2×clear-num frac-2neg associate--r+
1×distribute-rgt-in sub-neg distribute-lft-in flip3-- diff-log flip-- associate-/l/
Counts
4 → 4325
Calls
4 calls:
Slowest
17.0ms
(/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))))))
12.0ms
(/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))
5.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (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 (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (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)

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
939.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (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)))
309.0ms
(fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (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)
199.0ms
(/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))
39.0ms
(/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1))))))

simplify16.2s

Counts
4337 → 4337

prune1.8m

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.2b

localize273.0ms

Local error

Found 4 expressions with local error:

12.7b
(- 1 (* (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))))
0.5b
(fma (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))
0.5b
(* (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))
0.5b
(* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
1341×add-exp-log
958×prod-exp
847×div-exp
578×add-cbrt-cube
262×cbrt-unprod
228×cbrt-undiv
121×rec-exp 1-exp
30×pow1
19×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
15×times-frac
14×associate-*r*
8×associate-*l*
7×pow-plus swap-sqr pow-prod-up
6×frac-times associate-*l/ add-log-exp
5×div-inv
4×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u
3×pow2 fma-neg prod-diff pow-sqr
2×*-commutative unswap-sqr
1×sub-neg flip3-- diff-log pow3 fma-udef flip--
Counts
4 → 453
Calls
4 calls:
Slowest
247.0ms
(* (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))
80.0ms
(* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))
10.0ms
(- 1 (* (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))))
0.0ms
(fma (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))

series3.7s

Counts
4 → 12
Calls
4 calls:
Slowest
1.5s
(fma (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))
807.0ms
(- 1 (* (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))))
758.0ms
(* (* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x))))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))
634.0ms
(* (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))) (/ (* (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (fma (/ (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))) (/ (sqrt (fma 0.3275911 (fabs x) 1)) (sqrt (/ 1 (sqrt (fma 0.3275911 (fabs x) 1)))))) (+ 1.421413741 (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1))) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (exp (* (fabs x) (fabs x)))))

simplify6.1s

Counts
465 → 465

prune15.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.4b

regimes265.0ms

Accuracy

0% (0.0b remaining)

Error of 13.1b against oracle of 13.1b and baseline of 13.1b

bsearch14.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.3s3937×body160valid
1.1s4063×body80valid