Details

Time bar (total: 17.6s)

sample62.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
14.0ms286×body80nan

simplify182.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
01114
12114
24113
37013
49913
512813
614113
714313
done14313

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×fma-udef
Counts
3 → 153
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
17.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
26.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series735.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
533.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
136.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify2.2s

Counts
162 → 162
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02503612
16313490
230383298
done50013288

prune932.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

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))))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 associate-*r*
4×fma-def associate-*r/
3×expm1-log1p-u times-frac associate-*l* associate-/r* sum-log log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
72.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
48.0ms
(* 6.0 (- x 1.0))
116.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series286.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
71.0ms
(* 6.0 (- x 1.0))
140.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.9s

Counts
101 → 101
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01871534
15141348
223601075
done50021043

prune404.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.2b
(/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.2b
(* (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
0.3b
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
108×times-frac
95×*-un-lft-identity
69×add-cube-cbrt
63×sqrt-prod
34×associate-*r*
22×associate-*l*
20×add-exp-log add-cbrt-cube
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
9×unswap-sqr
8×associate-/l*
7×pow1
6×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 201
Calls
4 calls:
2.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
10.0ms
(/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
100.0ms
(* (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
29.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

series657.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
184.0ms
(/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
131.0ms
(* (/ 6.0 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
217.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

simplify2.5s

Counts
213 → 213
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02565082
17474736
238344430
done50014422

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
0.3b
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.3b
(/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
1.0b
(* (/ (sqrt 6.0) 1) (* (/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))))

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
184×add-sqr-sqrt
172×times-frac
137×sqrt-prod
132×*-un-lft-identity
106×add-cube-cbrt
79×add-exp-log
62×associate-*l*
61×add-cbrt-cube
35×associate-*r*
31×prod-exp
28×div-exp
22×cbrt-unprod
19×cbrt-undiv
15×unswap-sqr
13×distribute-lft-out-- difference-of-squares
12×associate-/r*
11×pow1 associate-/l*
6×frac-times associate-*r/
5×1-exp div-inv
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative associate-/l/
1×sqrt-undiv flip3-- div-sub flip--
Counts
4 → 299
Calls
4 calls:
111.0ms
(* (/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
33.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
16.0ms
(/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
129.0ms
(* (/ (sqrt 6.0) 1) (* (/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))))

series860.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
218.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
219.0ms
(/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
248.0ms
(* (/ (sqrt 6.0) 1) (* (/ (sqrt 6.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))))

simplify944.0ms

Counts
311 → 311
Iterations

Useful iterations: done (925.0ms)

IterNodesCost
03879080
112068278
done50007422

prune1.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11113
done1113

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s7916×body80nan
642.0ms8000×body80valid