Details

Time bar (total: 1.9s)

analyze12.0ms

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

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
0502719

prune6.0ms

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: 32.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.1b
(- (* x x) (* (* y 4.0) y))
32.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite21.0ms

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))
4.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* (* y 4.0) y))
7.0ms
(- (* 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 (58.0ms)

IterNodesCost
049431204
149431204

prune100.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New59463
Fresh000
Picked101
Done000
Total60464

Merged error: 0.8b

Counts
64 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.8b

Counts
4 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

1.8b
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
2.2b
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
18.4b
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
21.5b
(/ x (+ (* x x) (* y (* y 4.0))))

rewrite46.0ms

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:
9.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
17.0ms
(* y (/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0)))
7.0ms
(/ y (/ (+ (* x x) (* y (* y 4.0))) 4.0))
5.0ms
(/ x (+ (* x x) (* y (* y 4.0))))

series33.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051413744

prune360.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2101211
Fresh022
Picked101
Done011
Total2114215

Merged error: 0.8b

Counts
215 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

1.8b
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
2.2b
(* y (* y (/ 4.0 (+ (* x x) (* y (* y 4.0))))))
19.0b
(* y (/ 4.0 (+ (* x x) (* y (* y 4.0)))))
21.5b
(/ x (+ (* x x) (* y (* y 4.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×associate-*r*
29×add-cube-cbrt *-un-lft-identity times-frac
25×add-exp-log add-cbrt-cube
13×pow1
9×associate-*l* prod-exp cbrt-unprod
6×associate-/r/
5×pow-prod-down
4×cbrt-undiv associate-*r/ div-exp add-log-exp unswap-sqr
3×flip3-+ associate-/r* *-commutative flip-+ div-inv associate-/l*
1×frac-2neg clear-num
Counts
4 → 118
Calls
4 calls:
9.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
9.0ms
(* y (* y (/ 4.0 (+ (* x x) (* y (* y 4.0))))))
11.0ms
(* y (/ 4.0 (+ (* x x) (* y (* y 4.0)))))
5.0ms
(/ x (+ (* x x) (* y (* y 4.0))))

series34.0ms

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

simplify67.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049621808
149621808

prune160.0ms

Filtered
91 candidates to 130 candidates (-42.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh022
Picked011
Done011
Total1304134

Merged error: 0.8b

Counts
134 → 4

regimes208.0ms

Accuracy

60.5% (12.4b remaining)

Error of 12.8b against oracle of 0.4b and baseline of 31.9b

bsearch51.0ms

Steps
ItersRangePoint
7
9.68106278483905e+259
2.970063788568189e+261
2.5090772621844595e+260
5
2.093921222105979e-69
5.190654888624706e-69
2.773273929418784e-69
9
2.1489504816917408e-156
4.457756120649574e-149
2.5604160700203113e-149
10
5.443123177661991e-307
9.44815747866416e-297
2.6519277267935953e-297

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06469
16469

end0.0ms

sample495.0ms

Algorithm
intervals
Results
364.0ms8000×body80valid

Profiling

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