Details

Time bar (total: 30.1s)

sample63.0ms

Algorithm
intervals
Results
32.0ms121×body160valid
18.0ms135×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
02664
18264
224664
376663
4318363
done500163

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.4b

Counts
2 → 2

localize193.0ms

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)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))
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))))))))
13.3b
(- 1.0 (/ (/ (* 1.0 (+ 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)))) (+ 1.0 (* 0.3275911 (fabs x)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt times-frac
15×associate-*l*
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1
5×flip3-+ flip-+
4×associate-/r/
3×associate-*r* associate-/r* associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times associate-+r+ distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv difference-of-squares unswap-sqr
1×+-commutative sub-neg flip3-- frac-2neg diff-log pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- distribute-lft-out--
Counts
4 → 97
Calls
4 calls:
7.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
11.0ms
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))
4.0ms
(+ 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))))))))
12.0ms
(- 1.0 (/ (/ (* 1.0 (+ 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)))) (+ 1.0 (* 0.3275911 (fabs x)))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
28.0ms
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))
80.0ms
(+ 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))))))))
234.0ms
(- 1.0 (/ (/ (* 1.0 (+ 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)))) (+ 1.0 (* 0.3275911 (fabs x)))))

simplify1.2s

Counts
109 → 109
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02764569
18374371
229423933
done50013928

prune513.0ms

Filtered
87 candidates to 109 candidates (-25.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1009109
Fresh101
Picked101
Done000
Total1029111

Merged error: 13.3b

Counts
111 → 9

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2))))
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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
13.3b
(- 1.0 (/ (/ (* 1.0 (+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (* (fabs x) (fabs x)))) (+ 1.0 (* 0.3275911 (fabs x)))))
14.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt times-frac
15×associate-*l*
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1
5×flip3-- flip--
4×associate-/r/
3×distribute-rgt-in sub-neg distribute-lft-in associate-*r* associate-/r* associate-/l*
2×cbrt-undiv frac-times associate-+r+ associate-*r/ div-exp prod-exp cbrt-unprod div-inv difference-of-squares unswap-sqr
1×+-commutative frac-2neg flip3-+ diff-log pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+ distribute-lft-out--
Counts
4 → 99
Calls
4 calls:
7.0ms
(/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2))))
4.0ms
(+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
11.0ms
(- 1.0 (/ (/ (* 1.0 (+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (* (fabs x) (fabs x)))) (+ 1.0 (* 0.3275911 (fabs x)))))
13.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))

series551.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2))))
163.0ms
(+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
339.0ms
(- 1.0 (/ (/ (* 1.0 (+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (* (fabs x) (fabs x)))) (+ 1.0 (* 0.3275911 (fabs x)))))
30.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))

simplify1.2s

Counts
111 → 111
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02925666
18095463
230844929
done50004919

prune616.0ms

Filtered
85 candidates to 111 candidates (-30.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1074111
Fresh448
Picked011
Done000
Total1119120

Merged error: 13.3b

Counts
120 → 9

localize50.0ms

Local error

Found 4 expressions with local error:

10.2b
(- (* 1.0 1.0) (/ (* (/ (* 1.0 (+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (pow (fabs x) 2))) (/ (* 1.0 (+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (pow (fabs x) 2)))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)))
14.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
14.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
14.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
45×associate-*l*
34×times-frac
28×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
10×pow1 flip3-- flip--
9×associate-*r*
7×sub-neg
6×distribute-rgt-in frac-times distribute-lft-in associate-*r/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
5×difference-of-squares
3×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×unpow-prod-down diff-log unpow2 sqr-pow
Counts
4 → 143
Calls
4 calls:
11.0ms
(- (* 1.0 1.0) (/ (* (/ (* 1.0 (+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (pow (fabs x) 2))) (/ (* 1.0 (+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (pow (fabs x) 2)))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)))
14.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
17.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
13.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))

series1.8s

Counts
4 → 12
Calls
4 calls:
1.7s
(- (* 1.0 1.0) (/ (* (/ (* 1.0 (+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (pow (fabs x) 2))) (/ (* 1.0 (+ 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 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (pow (fabs x) 2)))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)))
30.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
27.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
27.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))

simplify1.6s

Counts
155 → 155
Iterations

Useful iterations: 2 (820.0ms)

IterNodesCost
03579228
110259001
244778149
done50008149

prune4.5s

Filtered
115 candidates to 155 candidates (-34.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1505155
Fresh257
Picked101
Done101
Total15410164

Merged error: 13.3b

Counts
164 → 10

localize71.0ms

Local error

Found 4 expressions with local error:

14.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
14.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
14.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
14.5b
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
60×associate-*l*
56×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
24×add-exp-log add-cbrt-cube
12×pow1 flip3-- associate-*r* flip--
8×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
4 → 168
Calls
4 calls:
14.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
14.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
14.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
13.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
27.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
30.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))
27.0ms
(* (/ 1.0 (- (* 1.0 1.0) (* (* 0.3275911 0.3275911) (pow (fabs x) 2)))) (- 1.0 (* 0.3275911 (fabs x))))

simplify852.0ms

Counts
180 → 180
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
01085064
12944964
212564452
done50014452

prune12.4s

Filtered
132 candidates to 180 candidates (-36.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh099
Picked011
Done000
Total18010190

Merged error: 13.3b

Counts
190 → 10

regimes414.0ms

Accuracy

0% (0.0b remaining)

Error of 14.0b against oracle of 13.9b and baseline of 14.0b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
051518
168518
done68518

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s3969×body160valid
568.0ms4031×body80valid

Profiling

Loading profile data...