Details

Time bar (total: 2.4s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

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: 32.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

4.8b
(- (* x x) (* (* y 4.0) y))
32.2b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x x) (* (* y 4.0) y))
63.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify192.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0221583
1964535
24800534
35002534

prune92.0ms

Filtered
50 candidates to 39 candidates (78.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New46450
Fresh000
Picked101
Done000
Total47451

Merged error: 0b

Counts
51 → 4

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 (2.0ms)

IterNodesCost
000

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0b

Counts
4 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

4.8b
(- (* x x) (* (* y 4.0) y))
32.2b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x x) (* (* y 4.0) y))
62.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify182.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0221583
1964535
24800534
35002534

prune102.0ms

Filtered
50 candidates to 39 candidates (78.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh022
Picked011
Done011
Total50454

Merged error: 0b

Counts
54 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

16.9b
(* (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
31.6b
(cbrt (- (* x x) (* (* y 4.0) y)))
31.6b
(cbrt (- (* x x) (* (* y 4.0) y)))
31.6b
(cbrt (- (* x x) (* (* y 4.0) y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
24×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log frac-times
15×flip3-- flip--
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×flip3-+ associate-*l* *-commutative flip-+ div-inv
Counts
4 → 102
Calls
4 calls:
23.0ms
(* (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
3.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))

series421.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
121.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
117.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))
119.0ms
(cbrt (- (* x x) (* (* y 4.0) y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05492273
123742041
250011948

prune277.0ms

Filtered
114 candidates to 92 candidates (80.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done022
Total1144118

Merged error: 0b

Counts
118 → 4

regimes156.0ms

Accuracy

58% (13.2b remaining)

Error of 13.6b against oracle of 0.4b and baseline of 31.8b

bsearch178.0ms

Steps
ItersRangePoint
8
7.817341401264192e+19
2.9725918570292087e+23
1.0648019955864683e+21
8
1.4065029721721494e-51
4.455688809803513e-49
4.2903129201606204e-49
10
9.764765009415372e-121
2.4415654006179014e-108
5.105236589688579e-118
9
-3.26290704860367e-116
-8.523973648180718e-125
-7.863252259331388e-121
9
-7.841987319417254e+62
-1.1354868634949837e+55
-4.387955301392137e+62

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03322
13322

end0.0ms

sample407.0ms

Algorithm
intervals
Results
279.0ms8000×body80valid

Profiling

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