Details

Time bar (total: 25.2s)

sample66.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
13.0ms211×body80nan

simplify342.0ms

Counts
1 → 1
Iterations
IterNodes
done107
8107
7106
6104
593
470
354
236
121
011

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.3b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×associate-/r* sum-log times-frac associate-*l* insert-posit16
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
64.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
52.0ms
(* 6.0 (- x 1.0))
109.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series236.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
58.0ms
(* 6.0 (- x 1.0))
113.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify2.6s

Counts
76 → 76
Iterations
IterNodes
done5000
21308
1387
0137

prune616.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.0b
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-cbrt-cube add-exp-log
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×associate-/r* sum-log flip3-+ associate-*l* flip-+ insert-posit16
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
3 → 96
Calls
3 calls:
44.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
178.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
61.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series256.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
101.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
112.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify2.7s

Counts
105 → 105
Iterations
IterNodes
done5004
21593
1458
0164

prune890.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
0.0b
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
0.0b
(* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))))
0.1b
(cbrt (* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))))))

rewrite881.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
116×add-sqr-sqrt
106×times-frac
64×add-cube-cbrt
27×swap-sqr
26×distribute-lft-out--
21×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log difference-of-squares
12×associate-/r/
11×pow1
10×associate-/l*
7×cbrt-div
6×frac-times cbrt-undiv associate-/r* flip3-+ div-exp associate-*r/ flip-+ div-inv
4×associate-*l/ prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr associate-/l/
2×clear-num frac-2neg flip3-- div-sub flip--
1×cbrt-prod pow2 pow-plus pow1/3 cube-unmult pow-prod-down pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 198
Calls
4 calls:
96.0ms
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
82.0ms
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
321.0ms
(* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))))
339.0ms
(cbrt (* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
120.0ms
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
149.0ms
(* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))))
171.0ms
(cbrt (* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))))))

simplify5.1s

Counts
210 → 210
Iterations
IterNodes
done5000
22819
1785
0230

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize131.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
0.0b
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
0.1b
(/ (* (- x 1.0) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
0.1b
(cbrt (* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (/ (* (- x 1.0) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))) (+ (+ 1.0 x) (* 4.0 (sqrt x))))))

rewrite529.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt *-un-lft-identity
33×times-frac
26×add-cube-cbrt
17×add-cbrt-cube add-exp-log
11×associate-/l*
9×associate-/r* associate-/l/
8×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r/
4×pow1 flip3-- insert-posit16 flip-- add-log-exp
3×frac-times cbrt-div clear-num frac-2neg flip3-+ associate-*l/ flip-+ div-inv
2×div-sub prod-exp associate-*r/ cbrt-unprod
1×cbrt-prod pow1/3
Counts
4 → 126
Calls
4 calls:
104.0ms
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
81.0ms
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
126.0ms
(/ (* (- x 1.0) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
201.0ms
(cbrt (* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (/ (* (- x 1.0) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))) (+ (+ 1.0 x) (* 4.0 (sqrt x))))))

series539.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
85.0ms
(/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
172.0ms
(/ (* (- x 1.0) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))) (+ (+ 1.0 x) (* 4.0 (sqrt x))))
175.0ms
(cbrt (* (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x)))) (/ (* (- x 1.0) (/ (- x 1.0) (+ (+ 1.0 x) (* 4.0 (sqrt x))))) (+ (+ 1.0 x) (* 4.0 (sqrt x))))))

simplify3.7s

Counts
138 → 138
Iterations
IterNodes
done5000
21991
1483
0169

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.9s

Algorithm
intervals
Results
949.0ms8000×body80valid
528.0ms7974×body80nan