Details

Time bar (total: 48.6s)

sample81.0ms

Algorithm
intervals
Results
30.0ms132×body160valid
13.0ms124×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
43820
3964
2296
183
026

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.5b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma 0.3275911 (fabs x) 1))
0.2b
(/ 1 (fma 0.3275911 (fabs x) 1))
0.5b
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
14.5b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

rewrite21.0ms

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:
8.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
5.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
0.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
5.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

series910.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
53.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
334.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
478.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

simplify2.8s

Counts
114 → 114
Iterations
IterNodes
done5004
21496
1453
0182

prune777.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 14.5b

localize112.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
0.5b
(+ (* (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))) (* 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))))
0.8b
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
13.9b
(- (pow 1 3) (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3))

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
160×add-exp-log
101×prod-exp
96×prod-diff
94×add-cbrt-cube
78×div-exp
56×add-sqr-sqrt
51×*-un-lft-identity
46×pow1
44×unpow-prod-down cube-prod add-cube-cbrt
43×cbrt-unprod
30×sqr-pow
27×cbrt-undiv
23×cube-mult
22×unpow3
18×pow-prod-down
14×associate-*l/
13×rec-exp 1-exp
12×distribute-rgt-in distribute-lft-in fma-neg fma-udef difference-of-squares
8×add-log-exp
6×pow-exp
5×associate-*r/
4×expm1-log1p-u associate-+l+ associate-+r+ pow-sqr pow-prod-up insert-posit16 log1p-expm1-u rem-cube-cbrt
3×pow-unpow frac-add
2×frac-times pow-pow pow-plus distribute-lft-out--
1×cube-div pow2 pow-to-exp difference-cubes +-commutative sum-log sub-neg fma-def flip3-+ distribute-rgt-out flip3-- diff-log swap-sqr associate-*r* associate-*l* *-commutative flip-+ flip--
Counts
4 → 285
Calls
4 calls:
122.0ms
(* (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
102.0ms
(+ (* (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))) (* 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))))
26.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
12.0ms
(- (pow 1 3) (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3))

series3.0s

Counts
4 → 12
Calls
4 calls:
517.0ms
(* (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
1.1s
(+ (* (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))) (* 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))))
568.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
786.0ms
(- (pow 1 3) (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3))

simplify5.0s

Counts
297 → 297
Iterations
IterNodes
done5001
12106
0685

prune3.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.6b

localize170.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))) (* 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))))
0.8b
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
0.8b
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
13.9b
(- (pow 1 3) (* (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)) (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
24×add-cbrt-cube
15×add-sqr-sqrt
14×*-un-lft-identity
12×fma-neg div-exp prod-diff pow-exp add-cube-cbrt
10×pow1 unpow-prod-down cube-prod associate-*l/ prod-exp
8×distribute-rgt-in distribute-lft-in fma-udef add-log-exp rem-cube-cbrt
6×cbrt-undiv pow-unpow cbrt-unprod difference-of-squares
5×sqr-pow
4×expm1-log1p-u cube-mult associate-+l+ associate-+r+ pow-pow unpow3 associate-*r/ insert-posit16 log1p-expm1-u
3×frac-add
2×cube-div pow-to-exp rec-exp 1-exp pow-prod-down
1×frac-times +-commutative sum-log sub-neg fma-def flip3-+ distribute-rgt-out flip3-- diff-log flip-+ flip--
Counts
4 → 136
Calls
4 calls:
102.0ms
(+ (* (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))) (* 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))))
23.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
14.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
21.0ms
(- (pow 1 3) (* (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)) (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3))))

series3.5s

Counts
4 → 12
Calls
4 calls:
1.1s
(+ (* (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))) (* 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592))))
637.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
960.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
800.0ms
(- (pow 1 3) (* (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)) (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3))))

simplify4.9s

Counts
148 → 148
Iterations
IterNodes
done5001
11594
0512

prune2.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.6b

localize179.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
0.8b
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
0.8b
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
12.5b
(- (* (pow 1 3) (pow 1 3)) (* (* (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)) (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3))) (* (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)) (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
34×add-cbrt-cube
18×div-exp pow-exp
15×prod-exp
13×pow1
12×rem-cube-cbrt
9×cbrt-undiv pow-unpow cbrt-unprod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-pow add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cube-div cube-mult pow-to-exp rec-exp unpow-prod-down 1-exp unpow3 cube-prod pow-prod-down associate-*l/ sqr-pow
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- difference-of-squares
Counts
4 → 114
Calls
4 calls:
14.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
15.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
14.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
30.0ms
(- (* (pow 1 3) (pow 1 3)) (* (* (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)) (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3))) (* (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)) (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)))))

series5.2s

Counts
4 → 12
Calls
4 calls:
662.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
591.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
566.0ms
(pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)
3.3s
(- (* (pow 1 3) (pow 1 3)) (* (* (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)) (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3))) (* (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)) (sqrt (pow (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)) 3)))))

simplify7.7s

Counts
126 → 126
Iterations
IterNodes
done5000
11373
0478

prune2.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

regimes177.0ms

Accuracy

0% (0.0b remaining)

Error of 11.6b against oracle of 11.6b and baseline of 11.6b

bsearch0.0ms

simplify95.0ms

Iterations
IterNodes
done75
175
059

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.7s3864×body160valid
717.0ms4136×body80valid