Details

Time bar (total: 1.7s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
052311
152311

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(/ 1.0 (- x 1.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
25.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series14.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ x (+ x 1.0))
9.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
3.0ms
(/ 1.0 (- x 1.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05315995

prune121.0ms

Filtered
72 candidates to 96 candidates (-33.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New94296
Fresh000
Picked101
Done000
Total95297

Merged error: 0b

Counts
97 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
0.0b
(/ 1.0 (- x 1.0))
0.0b
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3))
0.0b
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
138×*-un-lft-identity
55×times-frac
35×distribute-lft-out
28×add-sqr-sqrt
22×cbrt-prod
20×add-cube-cbrt
16×unpow-prod-down cube-prod
14×distribute-lft-out--
7×add-exp-log add-cbrt-cube
6×cube-div add-log-exp
5×pow1 associate-/r*
4×difference-of-squares
3×pow-unpow cbrt-div flip3-+ frac-add flip-+ associate-/l*
2×cube-mult unpow3 associate-/r/ sqr-pow
1×cbrt-undiv +-commutative pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log flip-- rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 124
Calls
4 calls:
27.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
5.0ms
(/ 1.0 (- x 1.0))
26.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3))
29.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)

series23.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x)))
2.0ms
(/ 1.0 (- x 1.0))
8.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3))
7.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ 1.0 x))) 3)

simplify49.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050891928

prune151.0ms

Filtered
78 candidates to 136 candidates (-74.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh011
Picked011
Done000
Total1362138

Merged error: 0b

Counts
138 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ x (+ x 1.0)))
0.0b
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
0.1b
(/ 1.0 (- (pow x 3) (pow 1.0 3)))
19.3b
(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
237×add-sqr-sqrt
151×times-frac
134×*-un-lft-identity
112×difference-of-squares
84×unpow-prod-down cube-prod
81×associate-*l*
64×add-cube-cbrt
56×sqr-pow
35×distribute-lft-out--
25×associate-/r*
11×add-exp-log add-cbrt-cube add-log-exp
7×difference-cubes
6×pow1 flip3-+ flip-+
5×frac-add
4×frac-times associate-*r/ sum-log associate-/r/
3×associate-*r* associate-/l*
2×cbrt-undiv +-commutative distribute-rgt-in associate-+l+ flip3-- distribute-lft-in div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv unswap-sqr
1×associate-+r+ frac-2neg pow-prod-down clear-num *-commutative
Counts
4 → 254
Calls
4 calls:
30.0ms
(+ (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ x (+ x 1.0)))
6.0ms
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
16.0ms
(/ 1.0 (- (pow x 3) (pow 1.0 3)))
34.0ms
(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ (* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ x (+ x 1.0)))
2.0ms
(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
6.0ms
(/ 1.0 (- (pow x 3) (pow 1.0 3)))
9.0ms
(* (/ 1.0 (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify70.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
055185271

prune549.0ms

Filtered
166 candidates to 266 candidates (-60.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2660266
Fresh000
Picked011
Done011
Total2662268

Merged error: 0b

Counts
268 → 2

regimes26.0ms

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
02214
12214

end0.0ms

sample304.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid

Profiling

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