Details

Time bar (total: 3.8s)

sample73.0ms

Algorithm
intervals
Results
20.0ms46×body1280valid
13.0ms46×body640valid
8.0ms148×body80valid
6.0ms34×body320valid
4.0ms94×body80nan
1.0ms10×body160valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049509
149509

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 11.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
6.1b
(pow (/ x (+ x y)) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
7×add-exp-log distribute-lft-out
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1 pow-unpow associate-/l*
2×flip3-+ div-exp pow-exp flip-+ div-inv add-log-exp
1×cbrt-undiv pow-to-exp pow-pow frac-2neg clear-num sqr-pow
Counts
2 → 66
Calls
2 calls:
6.0ms
(/ x (+ x y))
7.0ms
(pow (/ x (+ x y)) x)

series26.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ x (+ x y))
20.0ms
(pow (/ x (+ x y)) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04963845
14963845

prune107.0ms

Filtered
51 candidates to 72 candidates (-41.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New67572
Fresh000
Picked101
Done000
Total68573

Merged error: 2.0b

Counts
73 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.9b
(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
49×unpow-prod-down
47×*-un-lft-identity
42×times-frac
35×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
13×pow1
7×pow-pow pow-exp
6×pow-unpow distribute-lft-out
5×div-exp
4×prod-exp add-cbrt-cube add-log-exp
2×pow-to-exp cbrt-div pow1/3 associate-/r/ sqr-pow
1×pow2 flip3-+ pow-plus pow-prod-down pow-sqr pow-prod-up flip-+ div-inv
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
14.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
19.0ms
(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

series122.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
28.0ms
(cbrt x)
30.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
40.0ms
(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

simplify33.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
052861992

prune175.0ms

Filtered
90 candidates to 121 candidates (-34.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1192121
Fresh314
Picked101
Done000
Total1233126

Merged error: 0.9b

Counts
126 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.2b
(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod unpow-prod-down
85×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log
6×pow1
4×pow-unpow cbrt-div pow-exp associate-/r/ add-cbrt-cube add-log-exp
2×pow-to-exp pow-pow flip3-+ pow1/3 div-exp flip-+ div-inv sqr-pow
Counts
4 → 146
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))

series117.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt x)
25.0ms
(cbrt x)
30.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
35.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))

simplify41.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050723071

prune249.0ms

Filtered
125 candidates to 158 candidates (-26.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1571158
Fresh112
Picked011
Done000
Total1583161

Merged error: 0.9b

Counts
161 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))
10.2b
(log (exp (cbrt x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
48×unpow-prod-down *-un-lft-identity
42×times-frac
36×add-sqr-sqrt add-cube-cbrt
7×add-exp-log log-pow
6×pow1 exp-prod distribute-lft-out
4×add-cbrt-cube add-log-exp
3×log-prod
2×cbrt-div pow1/3 pow-exp associate-/r/
1×pow-to-exp pow-unpow pow-pow flip3-+ div-exp rem-log-exp flip-+ div-inv sqr-pow
Counts
4 → 101
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))
3.0ms
(log (exp (cbrt x)))

series108.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
24.0ms
(cbrt x)
34.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) (* x 2))
25.0ms
(log (exp (cbrt x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049381723
149381723

prune146.0ms

Filtered
75 candidates to 113 candidates (-50.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0.9b

Counts
116 → 3

regimes76.0ms

Accuracy

0% (4.8b remaining)

Error of 5.5b against oracle of 0.7b and baseline of 5.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01523
11523

end0.0ms

sample2.2s

Algorithm
intervals
Results
739.0ms1583×body1280valid
429.0ms1473×body640valid
256.0ms4833×body80valid
156.0ms816×body320valid
133.0ms3067×body80nan
52.0ms429×body160valid

Profiling

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