Details

Time bar (total: 3.9s)

sample70.0ms

Algorithm
intervals
Results
20.0ms41×body1280valid
13.0ms45×body640valid
9.0ms165×body80valid
6.0ms28×body320valid
4.0ms99×body80nan
2.0ms19×body160valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (6.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 11.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
6.3b
(pow (/ x (+ x y)) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
7×add-exp-log distribute-lft-out
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1 pow-unpow associate-/l*
2×flip3-+ div-exp pow-exp flip-+ div-inv add-log-exp
1×cbrt-undiv pow-to-exp pow-pow frac-2neg clear-num sqr-pow
Counts
2 → 66
Calls
2 calls:
5.0ms
(/ x (+ x y))
6.0ms
(pow (/ x (+ x y)) x)

series24.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ x (+ x y))
18.0ms
(pow (/ x (+ x y)) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0451502
12027479
25002474

prune105.0ms

Filtered
51 candidates to 72 candidates (-41.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New67572
Fresh000
Picked101
Done000
Total68573

Merged error: 1.7b

Counts
73 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.4b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
51×cbrt-prod
48×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ pow-exp flip-+
6×pow1 pow-unpow distribute-lft-out
5×div-exp
4×frac-times prod-exp add-cbrt-cube add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
16.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series107.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
29.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
35.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify84.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
09771596
135001507
250021470

prune168.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh224
Picked011
Done000
Total1294133

Merged error: 1.2b

Counts
133 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt x) (sqrt (+ x y)))
0.1b
(/ (sqrt x) (sqrt (+ x y)))
1.2b
(pow (/ (sqrt x) (sqrt (+ x y))) x)
1.2b
(pow (/ (sqrt x) (sqrt (+ x y))) x)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
194×sqrt-prod
172×*-un-lft-identity
168×times-frac
120×add-sqr-sqrt add-cube-cbrt
96×unpow-prod-down
26×distribute-lft-out
14×add-exp-log associate-/r*
12×associate-/l*
8×sqrt-div associate-/r/ add-cbrt-cube
6×pow1 pow-unpow
4×sqrt-undiv flip3-+ div-exp pow-exp flip-+ div-inv add-log-exp
2×cbrt-undiv pow-to-exp pow-pow frac-2neg clear-num sqrt-pow2 sqr-pow
Counts
4 → 268
Calls
4 calls:
7.0ms
(/ (sqrt x) (sqrt (+ x y)))
7.0ms
(/ (sqrt x) (sqrt (+ x y)))
10.0ms
(pow (/ (sqrt x) (sqrt (+ x y))) x)
10.0ms
(pow (/ (sqrt x) (sqrt (+ x y))) x)

series96.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (sqrt x) (sqrt (+ x y)))
13.0ms
(/ (sqrt x) (sqrt (+ x y)))
33.0ms
(pow (/ (sqrt x) (sqrt (+ x y))) x)
37.0ms
(pow (/ (sqrt x) (sqrt (+ x y))) x)

simplify101.0ms

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07173236
132363006
250012996

prune238.0ms

Filtered
144 candidates to 280 candidates (-94.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2800280
Fresh022
Picked011
Done011
Total2804284

Merged error: 1.2b

Counts
284 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
13.0b
(log (exp (cbrt x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
13×unpow-prod-down
12×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod
8×associate-/r/
7×log-pow
6×pow1 exp-prod flip3-+ flip-+
5×pow-exp
4×frac-times div-exp prod-exp add-cbrt-cube add-log-exp
3×pow-unpow log-prod
2×pow1/3 associate-*r/ associate-*l/
1×pow-to-exp pow-pow times-frac rem-log-exp div-inv sqr-pow
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
14.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
3.0ms
(log (exp (cbrt x)))

series102.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
35.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
24.0ms
(log (exp (cbrt x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0571799
11964735
25001689

prune102.0ms

Filtered
59 candidates to 83 candidates (-40.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done022
Total83487

Merged error: 1.2b

Counts
87 → 4

regimes93.0ms

Accuracy

1.3% (5.7b remaining)

Error of 7.0b against oracle of 1.3b and baseline of 7.1b

bsearch80.0ms

Steps
ItersRangePoint
8
3.18871804147959e+74
4.619268804046104e+77
1.42645131103691e+76
8
3.2286204576672714e+49
1.0578078654812983e+54
9.455659702624794e+53

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03031
13031

end0.0ms

sample2.2s

Algorithm
intervals
Results
771.0ms1549×body1280valid
427.0ms1417×body640valid
271.0ms4859×body80valid
168.0ms844×body320valid
131.0ms3081×body80nan
56.0ms447×body160valid

Profiling

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