Details

Time bar (total: 47.0s)

sample108.0ms

Algorithm
intervals
Results
37.0ms125×body160valid
20.0ms131×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (517.0ms)

IterNodesCost
026758
182758
2313633
31203593
done5000593

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.9b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.4b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
13.8b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
8×add-cbrt-cube add-exp-log add-log-exp
6×associate-/r* associate-/l*
4×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u
3×fma-def flip3-+ fma-neg prod-diff flip-+
2×cbrt-undiv associate-+r+ clear-num frac-2neg div-exp div-inv
1×distribute-rgt-in +-commutative sum-log sub-neg distribute-lft-in flip3-- diff-log flip--
Counts
4 → 100
Calls
4 calls:
13.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
13.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
6.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
5.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
47.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
442.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
1.1s
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify3.1s

Counts
112 → 112
Iterations

Useful iterations: done (3.1s)

IterNodesCost
017759065
149652867
2262745437
done500244909

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.8b

localize130.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x)))))
0.4b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
13.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
13.8b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
25×times-frac
18×associate-*l*
11×add-cbrt-cube add-exp-log
9×prod-diff
8×add-log-exp
7×difference-of-squares
6×distribute-rgt-in pow1 distribute-lft-in
5×flip3-- flip--
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u
3×sub-neg fma-def fma-neg associate-*r* associate-/l*
2×frac-times cbrt-undiv associate-+r+ div-exp prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ diff-log pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 126
Calls
4 calls:
20.0ms
(/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x)))))
6.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
47.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
9.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series2.8s

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x)))))
830.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
159.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
1.7s
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify3.2s

Counts
138 → 138
Iterations

Useful iterations: done (3.2s)

IterNodesCost
028791266
187283491
done500076327

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 13.8b

localize302.0ms

Local error

Found 4 expressions with local error:

10.6b
(- (* 1.0 1.0) (* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x)))))))
13.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
13.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
13.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
54×associate-*l*
52×add-sqr-sqrt
39×times-frac
37×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube prod-diff add-exp-log
15×distribute-rgt-in distribute-lft-in
10×pow1 flip3-- flip-- difference-of-squares
9×associate-*r*
7×sub-neg
6×frac-times prod-exp associate-*r/ associate-/r/ cbrt-unprod add-log-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×fma-neg diff-log
Counts
4 → 176
Calls
4 calls:
14.0ms
(- (* 1.0 1.0) (* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x)))))))
70.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
71.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
73.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))

series8.0s

Counts
4 → 12
Calls
4 calls:
7.5s
(- (* 1.0 1.0) (* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x)))))))
184.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
147.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
166.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))

simplify6.6s

Counts
188 → 188
Iterations

Useful iterations: done (6.4s)

IterNodesCost
0294119163
1896107849
done5001102600

prune3.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.7b

localize772.0ms

Local error

Found 4 expressions with local error:

13.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
13.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
13.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
13.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
72×associate-*l*
68×add-sqr-sqrt
52×times-frac
48×*-un-lft-identity add-cube-cbrt
24×add-cbrt-cube prod-diff add-exp-log
20×distribute-rgt-in distribute-lft-in
12×pow1 flip3-- associate-*r* flip-- difference-of-squares
8×frac-times sub-neg prod-exp associate-*r/ associate-/r/ cbrt-unprod unswap-sqr
4×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
4 → 212
Calls
4 calls:
75.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
73.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
73.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
72.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
142.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
144.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))
161.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1.0 (* 0.3275911 (fabs x))))

simplify2.5s

Counts
224 → 224
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0129108316
1357100592
2235296020
done500095360

prune5.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 13.7b

regimes479.0ms

Accuracy

0% (0.0b remaining)

Error of 13.7b against oracle of 13.7b and baseline of 13.7b

bsearch0.0ms

simplify73.0ms

Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
0441779
1641779
done641779

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.8s3907×body160valid
650.0ms4093×body80valid