Details

Time bar (total: 3.3s)

sample31.0ms

Algorithm
intervals
Results
11.0ms246×body80nan
10.0ms256×body80valid

simplify14.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

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))))

rewrite26.0ms

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:
6.0ms
(* 6.0 (- x 1.0))
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
12.0ms
(/ (* 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))
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify47.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0377495
11642421
25001420

prune147.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New67673
Fresh000
Picked101
Done000
Total68674

Merged error: 0b

Counts
74 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
9.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
14.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series188.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
72.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
81.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0439987
11809895
25001893

prune191.0ms

Filtered
102 candidates to 77 candidates (75.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh235
Picked011
Done000
Total1035108

Merged error: 0b

Counts
108 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
66×sqrt-prod
61×add-sqr-sqrt
59×*-un-lft-identity
57×add-cube-cbrt
20×add-exp-log add-cbrt-cube
18×sqrt-div associate-/r/
13×associate-/l*
12×associate-/r*
10×flip3-+ flip-+
9×div-inv add-log-exp
7×cbrt-undiv div-exp
6×pow1
5×associate-*r*
4×associate-*r/
3×associate-*l* prod-exp sum-log cbrt-unprod associate-/l/
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip--
1×+-commutative associate-+l+ pow-prod-down *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 179
Calls
4 calls:
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms
(* 6.0 (- x 1.0))
22.0ms
(/ (/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
12.0ms
(/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series306.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
38.0ms
(* 6.0 (- x 1.0))
77.0ms
(/ (/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
152.0ms
(/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07643251
134322885
250022885

prune351.0ms

Filtered
191 candidates to 115 candidates (60.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1910191
Fresh033
Picked011
Done011
Total1915196

Merged error: 0b

Counts
196 → 5

localize17.0ms

Local error

Found 4 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) x) (- (* (+ x 1.0) 1.0) (* x (* 4.0 4.0))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
18.6b
(/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) x) (- (* (+ x 1.0) 1.0) (* x (* 4.0 4.0)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
16×associate-*l*
13×*-un-lft-identity
12×associate-/r/
11×add-cube-cbrt
9×flip3-- associate-*l/ flip-- add-log-exp
8×pow1 associate-*r* frac-add
6×flip3-+ times-frac associate-*r/ prod-exp cbrt-unprod flip-+
5×distribute-rgt-in sub-neg distribute-lft-in
4×cbrt-undiv div-exp
3×associate--l+ associate-/r*
2×frac-times diff-log pow-prod-down *-commutative div-inv associate-/l/ unswap-sqr
1×frac-2neg clear-num sum-log associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 112
Calls
4 calls:
6.0ms
(- (+ x 1.0) (* 4.0 (sqrt x)))
7.0ms
(* 6.0 (- x 1.0))
29.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) x) (- (* (+ x 1.0) 1.0) (* x (* 4.0 4.0))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
18.0ms
(/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) x) (- (* (+ x 1.0) 1.0) (* x (* 4.0 4.0)))))

series265.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (+ x 1.0) (* 4.0 (sqrt x)))
45.0ms
(* 6.0 (- x 1.0))
117.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) x) (- (* (+ x 1.0) 1.0) (* x (* 4.0 4.0))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
64.0ms
(/ (* 6.0 (- x 1.0)) (+ (* (+ x 1.0) x) (- (* (+ x 1.0) 1.0) (* x (* 4.0 4.0)))))

simplify149.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
07941697
143271460
250011450

prune300.0ms

Filtered
124 candidates to 92 candidates (74.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1231124
Fresh112
Picked101
Done022
Total1254129

Merged error: 0b

Counts
129 → 4

regimes18.0ms

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
0157
1157

end0.0ms

sample775.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid
287.0ms8240×body80nan

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