Details

Time bar (total: 8.1s)

sample38.0ms

Algorithm
intervals
Results
11.0ms276×body80nan
11.0ms256×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
2116
done116

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(sqrt (- 1.0 (* x x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×sqrt-prod add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
5.0ms
(- 1.0 (* x x))
7.0ms
(sqrt (- 1.0 (* x x)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- 1.0 (* x x))
82.0ms
(sqrt (- 1.0 (* x x)))

simplify1.8s

Counts
35 → 35
Iterations

Useful iterations: done (1.8s)

IterNodesCost
076386
1168351
2467325
31617319
done5001316

prune83.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x x))
0.0b
(+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))
0.0b
(sqrt (/ (- (pow 1.0 3) (pow x 6)) (+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))))
0.0b
(/ (- (pow 1.0 3) (pow x 6)) (+ (pow x 4) (* 1.0 (+ 1.0 (* x x)))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
167×add-sqr-sqrt
97×times-frac
84×difference-of-squares
59×*-un-lft-identity
54×sqrt-prod
49×unpow-prod-down sqr-pow
45×add-cube-cbrt
21×cube-prod
16×associate-/l*
8×add-log-exp
7×distribute-lft-out--
6×add-exp-log add-cbrt-cube
5×pow1
4×flip3-+ associate-/r/ flip-+
3×associate-/r*
2×+-commutative rem-sqrt-square associate-+r+ sum-log div-inv associate-/l/
1×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
4 → 174
Calls
4 calls:
6.0ms
(+ 1.0 (* x x))
13.0ms
(+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))
49.0ms
(sqrt (/ (- (pow 1.0 3) (pow x 6)) (+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))))
74.0ms
(/ (- (pow 1.0 3) (pow x 6)) (+ (pow x 4) (* 1.0 (+ 1.0 (* x x)))))

series586.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ 1.0 (* x x))
54.0ms
(+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))
182.0ms
(sqrt (/ (- (pow 1.0 3) (pow x 6)) (+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))))
306.0ms
(/ (- (pow 1.0 3) (pow x 6)) (+ (pow x 4) (* 1.0 (+ 1.0 (* x x)))))

simplify1.4s

Counts
186 → 186
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03126180
16415827
218915656
done50005600

prune828.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))
0.0b
(* 0.5 (/ (pow x 2) (sqrt 1.0)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
54×add-sqr-sqrt
52×associate-*r*
32×add-cube-cbrt *-un-lft-identity
28×sqrt-prod
20×unpow-prod-down
12×add-exp-log
9×unswap-sqr
8×unpow2 sqr-pow
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×associate-*r/ div-exp associate-*l*
2×cbrt-unprod
1×cbrt-undiv +-commutative pow-to-exp flip3-+ pow-prod-down frac-add pow-exp sum-log *-commutative flip-+ div-inv
Counts
2 → 92
Calls
2 calls:
37.0ms
(+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))
40.0ms
(* 0.5 (/ (pow x 2) (sqrt 1.0)))

series548.0ms

Counts
2 → 6
Calls
2 calls:
467.0ms
(+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))
81.0ms
(* 0.5 (/ (pow x 2) (sqrt 1.0)))

simplify1.1s

Counts
98 → 98
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01831438
14451272
212441135
done50001126

prune367.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01520
11820
done1820

end0.0ms

sample876.0ms

Algorithm
intervals
Results
342.0ms8000×body80valid
274.0ms7937×body80nan