Details

Time bar (total: 5.1s)

sample71.0ms

Algorithm
intervals
Results
28.0ms55×body1280valid
13.0ms46×body640valid
8.0ms147×body80valid
5.0ms24×body320valid
3.0ms82×body80nan
2.0ms19×body160valid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0156
1246
2516
31086
43104
57924
641924
750024

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 13.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (pow (/ x (+ x y)) x) x)
6.2b
(pow (/ x (+ x y)) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
7×div-exp associate-/r* add-cbrt-cube div-inv
6×flip3-+ flip-+
5×sqr-pow
4×pow1 pow-exp
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 178
Calls
3 calls:
5.0ms
(/ x (+ x y))
11.0ms
(/ (pow (/ x (+ x y)) x) x)
7.0ms
(pow (/ x (+ x y)) x)

series401.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ x y))
131.0ms
(/ (pow (/ x (+ x y)) x) x)
227.0ms
(pow (/ x (+ x y)) x)

simplify78.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05541456
127261426
250031426

prune361.0ms

Filtered
187 candidates to 137 candidates (73.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1825187
Fresh000
Picked101
Done000
Total1835188

Merged error: 0.0b

Counts
188 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.8b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.8b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
53×cbrt-prod
52×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
18×cbrt-div
10×associate-/r/
9×flip3-+ flip-+
8×distribute-lft-out
7×pow-exp
6×pow1 pow-unpow
5×div-exp
4×expm1-log1p-u frac-times prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 130
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
11.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
16.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series783.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (+ x y))
125.0ms
(cbrt (+ x y))
260.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
273.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify70.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
07461470
123311394
250011363

prune403.0ms

Filtered
142 candidates to 102 candidates (71.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh044
Picked011
Done000
Total1425147

Merged error: 0.0b

Counts
147 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log
1×pow1 cbrt-undiv exp-neg expm1-log1p-u frac-2neg mul-1-neg div-exp clear-num log1p-expm1-u div-inv associate-/l/ add-log-exp
Counts
1 → 30
Calls
1 calls:
4.0ms
(/ (exp (* -1 y)) x)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(/ (exp (* -1 y)) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0118194
1313179
21512177
35001177

prune61.0ms

Filtered
33 candidates to 25 candidates (75.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New32133
Fresh123
Picked011
Done011
Total33538

Merged error: 0b

Counts
38 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (exp y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
5.0ms
(* x (exp y))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* x (exp y))

simplify39.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08780
132770
2128170
3500170

prune34.0ms

Filtered
23 candidates to 16 candidates (69.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New23023
Fresh022
Picked011
Done022
Total23528

Merged error: 0b

Counts
28 → 5

regimes70.0ms

Accuracy

88.6% (0.8b remaining)

Error of 1.2b against oracle of 0.5b and baseline of 7.1b

bsearch89.0ms

Steps
ItersRangePoint
6
1.1519417683705167e-10
1.0577176516808163e-09
1.0347496741749575e-09
10
-30491554129046.86
-0.08793709934347878
-1522673.7797856561

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03423
13423

end0.0ms

sample2.3s

Algorithm
intervals
Results
782.0ms1580×body1280valid
436.0ms1458×body640valid
268.0ms4824×body80valid
248.0ms457×body160valid
161.0ms828×body320valid
128.0ms3043×body80nan

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