Details

Time bar (total: 27.1s)

sample60.0ms

Algorithm
intervals
Results
19.0ms124×body160valid
10.0ms132×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (230.0ms)

IterNodesCost
02664
18264
229164
390763
4386563
done500063

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(* (/ 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)))))
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))))))))
13.7b
(- 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)))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
19×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 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-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
9.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
62.0ms
(* (/ 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)))))
14.0ms
(+ 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))))))))
31.0ms
(- 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)))))

series1.9s

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
266.0ms
(* (/ 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)))))
472.0ms
(+ 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 (/ (+ 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)))))

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02405056
17644856
231894353
done50024348

prune745.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 13.7b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.1b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(* (/ 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)))))
13.7b
(- 1.0 (/ (* 1.0 (/ (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 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)))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×*-un-lft-identity
28×add-cube-cbrt times-frac
15×associate-*l*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
5×flip3-+ flip-+
3×cbrt-undiv div-exp associate-*r* div-inv
2×frac-times frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod unswap-sqr
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log pow-prod-down associate-*l/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 112
Calls
4 calls:
11.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
9.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
66.0ms
(* (/ 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)))))
32.0ms
(- 1.0 (/ (* 1.0 (/ (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 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)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
38.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
325.0ms
(* (/ 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 (/ (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 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)))))

simplify1.9s

Counts
124 → 124
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02074700
16614512
227293992
done50003987

prune797.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.7b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))
0.2b
(/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
0.2b
(/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
13.7b
(- 1.0 (/ (* 1.0 (/ (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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)))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
298×times-frac
175×add-sqr-sqrt
170×*-un-lft-identity
168×add-cube-cbrt
150×sqrt-prod
27×associate-/l*
20×associate-/r/
18×sqrt-div
16×add-exp-log add-cbrt-cube
15×associate-*l*
12×flip3-+ associate-/r* flip-+
10×div-inv
6×pow1 add-log-exp
5×cbrt-undiv div-exp
3×associate-*r*
2×frac-times frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod unswap-sqr
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log pow-prod-down associate-*l/ *-commutative flip-- associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 286
Calls
4 calls:
51.0ms
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))
36.0ms
(/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
32.0ms
(/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
31.0ms
(- 1.0 (/ (* 1.0 (/ (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
265.0ms
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))
59.0ms
(/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
91.0ms
(/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
1.2s
(- 1.0 (/ (* 1.0 (/ (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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)))))

simplify3.2s

Counts
298 → 298
Iterations

Useful iterations: done (3.1s)

IterNodesCost
044312103
1118710302
238959370
done50009106

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 13.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 (* 0.3275911 (fabs x))))
0.3b
(* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))
0.4b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ (sqrt 1.0) (cbrt (+ 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)))))))))
13.7b
(- 1.0 (/ (* 1.0 (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ (sqrt 1.0) (cbrt (+ 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)))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×cbrt-prod
15×*-un-lft-identity
14×cbrt-div
13×add-cube-cbrt
11×pow1
8×flip3-+ flip-+ add-log-exp
7×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube unswap-sqr
2×associate-+r+ associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×+-commutative pow2 distribute-rgt-in sub-neg flip3-- distribute-lft-in pow-plus diff-log prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
7.0ms
(cbrt (+ 1.0 (* 0.3275911 (fabs x))))
60.0ms
(* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))
13.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ (sqrt 1.0) (cbrt (+ 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)))))))))
50.0ms
(- 1.0 (/ (* 1.0 (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ (sqrt 1.0) (cbrt (+ 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)))))

series2.8s

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt (+ 1.0 (* 0.3275911 (fabs x))))
229.0ms
(* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))
827.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ (sqrt 1.0) (cbrt (+ 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)))))))))
1.5s
(- 1.0 (/ (* 1.0 (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ (sqrt 1.0) (* (cbrt (+ 1.0 (* 0.3275911 (fabs x)))) (cbrt (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ (sqrt 1.0) (cbrt (+ 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)))))

simplify1.3s

Counts
100 → 100
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01954982
14964671
218283884
done50023860

prune906.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 13.6b

regimes141.0ms

Accuracy

0% (0.0b remaining)

Error of 13.8b against oracle of 13.8b and baseline of 13.8b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03081
14281
done4281

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.4s3919×body160valid
1.0s4081×body80valid