Details

Time bar (total: 5.8s)

sample26.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
13119
24619
36019
47619
58619
69619
711819
814919
918019
1022419
1133619
1260319
13109019
14162019
15215119
16394319
done500019

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×cbrt-undiv frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 95
Calls
4 calls:
11.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
15.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
9.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify510.0ms

Counts
107 → 107
Iterations

Useful iterations: done (506.0ms)

IterNodesCost
02062229
15332153
216571973
done50001953

prune199.0ms

Filtered
80 candidates to 107 candidates (-33.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1034107
Fresh000
Picked101
Done000
Total1044108

Merged error: 0b

Counts
108 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
14.8b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
78×add-sqr-sqrt
65×*-un-lft-identity
60×add-cube-cbrt
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
13×associate-*r*
11×associate-/r/
9×pow1
8×div-exp
7×flip3-+ flip-+ div-inv
6×associate-*l* associate-/l*
5×difference-of-squares
4×cbrt-undiv associate-*r/ add-log-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg rec-exp frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×flip3-- pow-flip flip-- inv-pow
Counts
4 → 168
Calls
4 calls:
28.0ms
(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
7.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
5.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify614.0ms

Counts
180 → 180
Iterations

Useful iterations: 2 (242.0ms)

IterNodesCost
03254491
18184229
227323768
done50003768

prune279.0ms

Filtered
111 candidates to 180 candidates (-62.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh033
Picked011
Done000
Total1804184

Merged error: 0b

Counts
184 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

14.8b
(/ (* 0.70711 (- (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* x x))) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
31×times-frac
30×add-sqr-sqrt add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×associate-/r*
10×associate-/l*
8×associate-/r/ associate-/l/
7×flip3-+ flip-+
5×cbrt-undiv div-exp
4×pow1 frac-2neg clear-num div-inv add-log-exp
2×associate-*r/ distribute-lft-out
1×flip3-- prod-exp flip-- cbrt-unprod
Counts
4 → 120
Calls
4 calls:
27.0ms
(/ (* 0.70711 (- (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* x x))) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* 0.70711 (- (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* x x))) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify487.0ms

Counts
132 → 132
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
01704477
14764303
217253751
done50003751

prune458.0ms

Filtered
106 candidates to 132 candidates (-24.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh022
Picked011
Done011
Total1324136

Merged error: 0b

Counts
136 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.6b
(* (* 0.70711 (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
19×times-frac
15×add-exp-log add-cbrt-cube
12×sqrt-div associate-*r*
11×pow1
10×associate-*r/
6×flip3-- associate-/r* sqrt-prod flip-- associate-/l*
5×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
2×cbrt-undiv frac-2neg div-exp associate-*l/ clear-num *-commutative div-inv difference-of-squares
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- unswap-sqr
Counts
4 → 116
Calls
4 calls:
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
31.0ms
(* (* 0.70711 (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series27.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(* (* 0.70711 (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify564.0ms

Counts
128 → 128
Iterations

Useful iterations: done (559.0ms)

IterNodesCost
02193848
15773249
218782925
done50002877

prune323.0ms

Filtered
93 candidates to 128 candidates (-37.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh011
Picked011
Done022
Total1284132

Merged error: 0b

Counts
132 → 4

regimes107.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
12721
done2721

end0.0ms

sample563.0ms

Algorithm
intervals
Results
412.0ms8000×body80valid

Profiling

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