Details

Time bar (total: 3.7s)

sample24.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms245×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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:
10.0ms
(* 6.0 (- x 1.0))
16.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
21.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series157.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* 6.0 (- x 1.0))
35.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify51.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0377495
11642421
25001420

prune156.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

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

rewrite86.0ms

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:
13.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
48.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
22.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series192.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
75.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify60.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0439987
11809895
25003893

prune217.0ms

Filtered
102 candidates to 77 candidates (75.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite458.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
42×*-un-lft-identity
38×times-frac
26×add-cube-cbrt
14×associate-*r*
12×associate-/r/
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1 distribute-rgt-out-- flip3-+ associate-/r* flip-+ div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp clear-num frac-sub flip-- sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 120
Calls
4 calls:
121.0ms
(- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))))
299.0ms
(* 6.0 (- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))))
16.0ms
(/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
17.0ms
(/ x (+ (+ x 1.0) (* 4.0 (sqrt x))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))))
138.0ms
(* 6.0 (- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))))
62.0ms
(/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
90.0ms
(/ x (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify69.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05321561
121601444
250031440

prune325.0ms

Filtered
132 candidates to 105 candidates (79.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

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
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
13.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
37.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
23.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
72.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
78.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify97.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06412084
129421986
250011984

prune353.0ms

Filtered
163 candidates to 126 candidates (77.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01612
11612

end0.0ms

sample610.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid
204.0ms8037×body80nan