Details

Time bar (total: 2.4s)

sample32.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
10.0ms276×body80nan

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0497014
1497014

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize12.0ms

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
48×add-sqr-sqrt
41×times-frac
26×associate-*r*
25×add-cube-cbrt
12×distribute-lft-out
10×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×add-log-exp
5×pow1 associate-/l*
4×associate-/r* associate-/r/
3×flip3-+ associate-*l* sum-log flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+r+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 105
Calls
3 calls:
5.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
14.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
9.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
8.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
7.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify32.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
055911958

prune175.0ms

Filtered
82 candidates to 114 candidates (-39.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1104114
Fresh011
Picked011
Done000
Total1106116

Merged error: 0.0b

Counts
116 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
210×*-un-lft-identity
153×add-sqr-sqrt
142×times-frac
122×cbrt-prod
80×add-cube-cbrt unpow-prod-down cube-prod
61×associate-*r*
36×distribute-lft-out
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
11×add-exp-log
10×add-cbrt-cube
7×pow1 flip3-+ flip-+ div-inv unswap-sqr
5×associate-/l*
4×associate-/r* add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*l*
2×cbrt-undiv cbrt-div div-exp pow-exp associate-/l/ rem-cube-cbrt
1×pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-sub associate-*r/ pow-prod-down prod-exp clear-num *-commutative flip-- rem-cbrt-cube cbrt-unprod
Counts
4 → 269
Calls
4 calls:
28.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)))
9.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
11.0ms
(pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)
12.0ms
(cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3))

series42.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)))
7.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
11.0ms
(pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)
11.0ms
(cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
281 → 281
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
053085747

prune333.0ms

Filtered
131 candidates to 281 candidates (-114.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2801281
Fresh134
Picked101
Done011
Total2825287

Merged error: 0.0b

Counts
287 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.3b
(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.3b
(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (- x 1.0))
4.0ms
(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
4.0ms
(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
4.0ms
(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (- x 1.0))
13.0ms
(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
13.0ms
(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
13.0ms
(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051561374

prune266.0ms

Filtered
61 candidates to 69 candidates (-13.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh033
Picked011
Done011
Total69574

Merged error: 0.0b

Counts
74 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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)))
11.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 6.0 (- x 1.0))
4.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
11.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify42.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04992917
14992917

prune91.0ms

Filtered
54 candidates to 73 candidates (-35.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh022
Picked011
Done112
Total73578

Merged error: 0b

Counts
78 → 5

regimes78.0ms

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 (1.0ms)

IterNodesCost
02514
12514

end0.0ms

sample818.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid
280.0ms8017×body80nan

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