Details

Time bar (total: 7.3s)

sample26.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms267×body80nan

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147
done1147

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in 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 associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
27.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
19.0ms
(* 6.0 (- x 1.0))
45.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series153.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
39.0ms
(* 6.0 (- x 1.0))
78.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify50.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0377495
11642421
25001420
done5001420

prune147.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

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-exp-log add-cbrt-cube
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×flip3-+ associate-*l* associate-/r* sum-log flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+l+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 93
Calls
3 calls:
83.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
27.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
45.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series183.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
34.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
71.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify51.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0439987
11809895
25003893
done5003893

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
358×*-un-lft-identity
354×times-frac
306×add-sqr-sqrt
202×sqrt-prod
130×add-cube-cbrt
88×difference-of-squares
70×distribute-lft-out
44×distribute-lft-out--
42×associate-/r*
15×associate-/r/
11×add-exp-log add-cbrt-cube add-log-exp
8×div-inv associate-/l*
7×flip3-- flip--
4×pow1 cbrt-undiv flip3-+ div-exp sum-log flip-+ associate-/l/
2×+-commutative frac-2neg clear-num
1×associate-+l+
Counts
4 → 301
Calls
4 calls:
9.0ms
(+ (sqrt x) (sqrt 1.0))
26.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
77.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
82.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

series929.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(+ (sqrt x) (sqrt 1.0))
48.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
363.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
289.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

simplify65.0ms

Counts
313 → 313
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010276458
150015930
done50015930

prune516.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
0.1b
(cbrt (pow (/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))) 3))
0.1b
(pow (/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))) 3)
0.3b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
1554×times-frac
1520×*-un-lft-identity
1184×add-sqr-sqrt
824×sqrt-prod
528×add-cube-cbrt
346×cbrt-prod
340×unpow-prod-down cube-prod
332×distribute-lft-out
328×difference-of-squares
164×distribute-lft-out--
59×associate-/r/
42×associate-/r*
32×div-inv
27×flip3-- flip--
17×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
5×pow1
4×associate-/l/ add-log-exp
3×pow-unpow pow-exp rem-cube-cbrt
2×cube-div cube-mult frac-2neg flip3-+ unpow3 clear-num flip-+ sqr-pow
1×pow-to-exp cbrt-div pow-pow pow1/3 rem-cbrt-cube
Counts
4 → 993
Calls
4 calls:
81.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
99.0ms
(cbrt (pow (/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))) 3))
93.0ms
(pow (/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))) 3)
85.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

series1.9s

Counts
4 → 12
Calls
4 calls:
348.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
344.0ms
(cbrt (pow (/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))) 3))
967.0ms
(pow (/ (+ (sqrt x) (sqrt 1.0)) (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))) 3)
279.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

simplify271.0ms

Counts
1005 → 1005
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0243626000
1500325190
done500325190

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157
done157

end0.0ms

sample651.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid
189.0ms7829×body80nan