Details

Time bar (total: 34.3s)

sample131.0ms

Algorithm
intervals
Results
49.0ms122×body160valid
27.0ms134×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done2018
42018
3872
2278
183
026

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize108.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
0.2b
(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))
0.4b
(+ 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))))))))
13.2b
(- 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))))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
15×associate-*l*
11×add-cbrt-cube
add-log-exp
pow1
flip3-+ flip-+
div-exp prod-exp associate-/r/ insert-posit16
associate-/r* associate-*r* associate-/l* unswap-sqr
distribute-rgt-in frac-times cbrt-undiv rec-exp associate-+r+ distribute-lft-in 1-exp associate-*r/ cbrt-unprod div-inv
+-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log pow-prod-down associate-*l/ *-commutative pow-flip flip-- inv-pow
Counts
4 → 105
Calls
4 calls:
13.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
50.0ms
(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))
11.0ms
(+ 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))))))))
9.0ms
(- 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))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
123.0ms
(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))
410.0ms
(+ 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))))))))
1.1s
(- 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))))))

simplify1.9s

Counts
117 → 117
Iterations
IterNodes
done2000
22000
1802
0235

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.2b

localize126.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
0.2b
(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))
0.6b
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
13.2b
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (log (* (exp 0.254829592) (exp (* (/ 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))))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
18×add-exp-log
15×associate-*l*
11×add-cbrt-cube
10×pow1
add-log-exp
prod-exp
flip3-+ div-exp associate-/r/ flip-+ insert-posit16
associate-/r* associate-*r* associate-/l* unswap-sqr
frac-times cbrt-undiv rec-exp 1-exp rem-log-exp pow-prod-down associate-*r/ log-pow cbrt-unprod div-inv
distribute-rgt-in log-prod clear-num sub-neg frac-2neg distribute-lft-in flip3-- diff-log associate-*l/ *-commutative pow-flip flip-- inv-pow
Counts
4 → 104
Calls
4 calls:
8.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
34.0ms
(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))
13.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
5.0ms
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (log (* (exp 0.254829592) (exp (* (/ 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))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
106.0ms
(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))
643.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
935.0ms
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (log (* (exp 0.254829592) (exp (* (/ 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))))))

simplify1.6s

Counts
116 → 116
Iterations
IterNodes
done2007
22007
1673
0203

prune2.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 13.2b

localize222.0ms

Local error

Found 4 expressions with local error:

0.6b
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
0.6b
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
0.6b
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
12.7b
(- (pow 1 3) (pow (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (log (* (exp 0.254829592) (exp (* (/ 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))))) 3))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×pow1
12×difference-of-squares
11×*-un-lft-identity
sqr-pow
add-exp-log
rem-log-exp log-pow add-log-exp
unpow-prod-down add-cbrt-cube cube-prod add-cube-cbrt insert-posit16
log-prod pow-prod-down prod-exp
distribute-lft-out--
cube-mult difference-cubes sub-neg flip3-- diff-log flip--
Counts
4 → 67
Calls
4 calls:
19.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
17.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
25.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
21.0ms
(- (pow 1 3) (pow (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (log (* (exp 0.254829592) (exp (* (/ 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))))) 3))

series3.1s

Counts
4 → 12
Calls
4 calls:
657.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
694.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
619.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
1.2s
(- (pow 1 3) (pow (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (log (* (exp 0.254829592) (exp (* (/ 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))))) 3))

simplify2.3s

Counts
79 → 79
Iterations
IterNodes
done2004
32004
21023
1311
0121

prune2.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 12.5b

localize209.0ms

Local error

Found 4 expressions with local error:

0.6b
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
0.6b
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
0.6b
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
12.8b
(- (pow 1 3) (sqrt (pow (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (log (* (exp 0.254829592) (exp (* (/ 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))))) 3)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×difference-of-squares
13×pow1 *-un-lft-identity
12×sqrt-prod
sqr-pow
add-exp-log
unpow-prod-down cube-prod rem-log-exp log-pow add-log-exp
add-cbrt-cube add-cube-cbrt insert-posit16
log-prod pow-prod-down prod-exp
distribute-lft-out--
cube-mult sub-neg flip3-- diff-log flip--
Counts
4 → 72
Calls
4 calls:
27.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
20.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
13.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
13.0ms
(- (pow 1 3) (sqrt (pow (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (log (* (exp 0.254829592) (exp (* (/ 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))))) 3)))

series3.4s

Counts
4 → 12
Calls
4 calls:
667.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
699.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
703.0ms
(log (* (exp 0.254829592) (exp (* (/ 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))))))))))
1.3s
(- (pow 1 3) (sqrt (pow (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (log (* (exp 0.254829592) (exp (* (/ 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))))) 3)))

simplify2.0s

Counts
84 → 84
Iterations
IterNodes
done2004
32004
2864
1286
0119

prune3.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 12.5b

regimes305.0ms

Accuracy

0% (0.0b remaining)

Error of 12.8b against oracle of 12.8b and baseline of 12.8b

bsearch0.0ms

simplify51.0ms

Iterations
IterNodes
done75
175
049

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.9s3865×body160valid
1.6s4135×body80valid