Details

Time bar (total: 1.7s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
2.0ms85×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
063
163

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: 24.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
22.4b
(sqrt (+ (* x x) y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
4.0ms
(+ (* x x) y)
4.0ms
(sqrt (+ (* x x) y))

series67.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* x x) y)
41.0ms
(sqrt (+ (* x x) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0141152
1475139
21515137
35002135

prune57.0ms

Filtered
32 candidates to 25 candidates (78.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) y)
0.1b
(pow (sqrt (+ (* x x) y)) 3)
22.4b
(sqrt (+ (* x x) y))
33.9b
(cbrt (pow (sqrt (+ (* x x) y)) 3))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity sqrt-prod
12×unpow-prod-down cube-prod
7×pow1
6×sqrt-div add-log-exp
5×add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow pow-pow
2×cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
1×+-commutative pow-to-exp rem-sqrt-square pow1/3 pow-exp sum-log sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
4.0ms
(+ (* x x) y)
6.0ms
(pow (sqrt (+ (* x x) y)) 3)
4.0ms
(sqrt (+ (* x x) y))
6.0ms
(cbrt (pow (sqrt (+ (* x x) y)) 3))

series150.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* x x) y)
42.0ms
(pow (sqrt (+ (* x x) y)) 3)
44.0ms
(sqrt (+ (* x x) y))
40.0ms
(cbrt (pow (sqrt (+ (* x x) y)) 3))

simplify43.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0301544
11159508
25001490

prune145.0ms

Filtered
101 candidates to 59 candidates (58.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done011
Total1014105

Merged error: 0b

Counts
105 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* -1/2 (/ y x)) x)
0.0b
(* -1/2 (/ y x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- div-inv
Counts
2 → 44
Calls
2 calls:
5.0ms
(- (* -1/2 (/ y x)) x)
7.0ms
(* -1/2 (/ y x))

series58.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* -1/2 (/ y x)) x)
17.0ms
(* -1/2 (/ y x))

simplify99.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0219205
1893190
24202189
35001189

prune63.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh011
Picked011
Done022
Total50454

Merged error: 0b

Counts
54 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1/2 (/ y x)))
0.0b
(* 1/2 (/ y x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
3.0ms
(+ x (* 1/2 (/ y x)))
7.0ms
(* 1/2 (/ y x))

series46.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ x (* 1/2 (/ y x)))
17.0ms
(* 1/2 (/ y x))

simplify109.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0223199
1960186
24224186
35001186

prune62.0ms

Filtered
49 candidates to 34 candidates (69.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done033
Total49453

Merged error: 0b

Counts
53 → 4

regimes151.0ms

Accuracy

97.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 22.1b

bsearch56.0ms

Steps
ItersRangePoint
10
2.3336133821381615e+48
2.0185632487026032e+65
1.7579152465873644e+65
8
-1.1207518021850012e+155
-2.279666765018582e+152
-1.3297155170300762e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0229
1229

end0.0ms

sample436.0ms

Algorithm
intervals
Results
206.0ms8000×body80valid
60.0ms2613×body80nan

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