Details

Time bar (total: 2.2s)

analyze17.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
93.7%6.2%0.1%7
96.8%3.1%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample17.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
0502719

prune5.0ms

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: 28.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
2.2b
(- (* x x) (* (* y 4.0) y))
28.3b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 54
Calls
3 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* (* y 4.0) y))
10.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049431204
149431204

prune100.0ms

Filtered
52 candidates to 63 candidates (-21.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New58563
Fresh000
Picked101
Done000
Total59564

Merged error: 0.4b

Counts
64 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
1.5b
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
15.6b
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
19.0b
(/ x (+ (* x x) (* y (* y 4.0))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
112×add-sqr-sqrt
98×add-cube-cbrt *-un-lft-identity
59×associate-*r*
25×add-exp-log add-cbrt-cube
16×associate-/r*
11×div-inv
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r/ associate-/l*
5×prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
4 → 199
Calls
4 calls:
15.0ms
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
8.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
7.0ms
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
5.0ms
(/ x (+ (* x x) (* y (* y 4.0))))

series36.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
8.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
9.0ms
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
11.0ms
(/ x (+ (* x x) (* y (* y 4.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
051413744

prune539.0ms

Filtered
167 candidates to 211 candidates (-26.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2110211
Fresh044
Picked011
Done000
Total2115216

Merged error: 0.4b

Counts
216 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

16.0b
(/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0))))
27.9b
(cbrt (- (* x x) (* y (* y 4.0))))
27.9b
(cbrt (- (* x x) (* y (* y 4.0))))
27.9b
(cbrt (- (* x x) (* y (* y 4.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/l*
5×add-cbrt-cube
4×pow1 flip3-- flip-- add-log-exp
3×pow1/3 associate-/r*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 82
Calls
4 calls:
9.0ms
(/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0))))
4.0ms
(cbrt (- (* x x) (* y (* y 4.0))))
4.0ms
(cbrt (- (* x x) (* y (* y 4.0))))
4.0ms
(cbrt (- (* x x) (* y (* y 4.0))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0))))
23.0ms
(cbrt (- (* x x) (* y (* y 4.0))))
22.0ms
(cbrt (- (* x x) (* y (* y 4.0))))
25.0ms
(cbrt (- (* x x) (* y (* y 4.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051592067

prune237.0ms

Filtered
85 candidates to 94 candidates (-10.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh033
Picked011
Done011
Total94599

Merged error: 0.4b

Counts
99 → 5

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 0.4b

Counts
5 → 5

regimes207.0ms

Accuracy

62.2% (11.3b remaining)

Error of 11.7b against oracle of 0.3b and baseline of 30.4b

bsearch62.0ms

Steps
ItersRangePoint
8
1.3919587772518497e+79
7.654543192862522e+82
9.916395680502954e+80
11
5.895583825480882e-152
2.3209446939403575e-121
1.5691779440763096e-150
10
-1.512671895646205e-159
-1.3182254889030364e-169
-1.4200406406138674e-159
9
-4.0987973135630026e+97
-5.053109392664489e+89
-4.011305840276716e+97

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05977
15977

end0.0ms

sample466.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid

Profiling

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