Details

Time bar (total: 1.3s)

sample23.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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))

rewrite40.0ms

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))
27.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series11.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ x (+ x 1.0))
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
2.0ms
(/ 1.0 (- x 1.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0379534
11365507
25001502

prune113.0ms

Filtered
70 candidates to 96 candidates (-37.1%)
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
(/ x (+ x 1.0))
0.0b
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.5b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.3b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
37×times-frac
36×add-sqr-sqrt
31×add-cube-cbrt
18×associate-*l*
13×add-exp-log add-cbrt-cube
8×associate-/r*
7×difference-of-squares
6×pow1 flip3-+ associate-/r/ flip-+ associate-/l* add-log-exp
5×frac-add distribute-lft-out
4×frac-times associate-*r/ associate-*r*
3×cbrt-undiv div-exp div-inv
2×distribute-rgt-in associate-+l+ flip3-- frac-2neg distribute-lft-in associate-*l/ prod-exp clear-num flip-- cbrt-unprod unswap-sqr
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 128
Calls
4 calls:
5.0ms
(/ x (+ x 1.0))
14.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
6.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ x (+ x 1.0))
9.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
4.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
4.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify93.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07761139
139351063
250011061

prune206.0ms

Filtered
112 candidates to 140 candidates (-25.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done000
Total1402142

Merged error: 0b

Counts
142 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
137×*-un-lft-identity
52×times-frac
39×distribute-lft-out
22×cbrt-prod
19×add-sqr-sqrt add-cube-cbrt
16×unpow-prod-down cube-prod
10×distribute-lft-out--
7×add-exp-log add-cbrt-cube
6×cube-div add-log-exp
5×pow1
4×flip3-+ associate-/r* flip-+
3×pow-unpow cbrt-div frac-add associate-/l*
2×cube-mult unpow3 associate-/r/ sqr-pow
1×cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 120
Calls
4 calls:
5.0ms
(/ x (+ x 1.0))
23.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
25.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
28.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ x (+ x 1.0))
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
7.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
10.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))

simplify56.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0446980
11901935
25002927

prune137.0ms

Filtered
74 candidates to 132 candidates (-78.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh000
Picked011
Done011
Total1322134

Merged error: 0b

Counts
134 → 2

regimes46.0ms

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
0139
1139

end0.0ms

sample340.0ms

Algorithm
intervals
Results
218.0ms8000×body80valid

Profiling

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