Details

Time bar (total: 6.9s)

sample74.0ms

Algorithm
intervals
Results
28.0ms54×body1280valid
15.0ms50×body640valid
8.0ms150×body80valid
5.0ms25×body320valid
4.0ms105×body80nan
1.0ms12×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

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: 8.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (pow (/ x (+ x y)) x) x)
4.4b
(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×pow-unpow add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 172
Calls
3 calls:
5.0ms
(/ x (+ x y))
11.0ms
(/ (pow (/ x (+ x y)) x) x)
6.0ms
(pow (/ x (+ x y)) x)

series410.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ x (+ x y))
132.0ms
(/ (pow (/ x (+ x y)) x) x)
234.0ms
(pow (/ x (+ x y)) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05371436
126401406
250011406

prune328.0ms

Filtered
181 candidates to 131 candidates (72.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1765181
Fresh000
Picked101
Done000
Total1775182

Merged error: 0.3b

Counts
182 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.5b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite37.0ms

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)
19.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series891.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
180.0ms
(cbrt x)
261.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
274.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06911332
121701264
250021234

prune538.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1271128
Fresh134
Picked101
Done000
Total1294133

Merged error: 0b

Counts
133 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.5b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
85×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
48×unpow-prod-down log-prod
12×distribute-lft-out
10×add-exp-log
6×pow1
4×cbrt-div associate-/r/ add-cbrt-cube add-log-exp
3×pow-unpow
2×flip3-+ pow1/3 div-exp rem-log-exp pow-exp flip-+ div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 144
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
7.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series682.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
171.0ms
(cbrt x)
259.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
73.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05991533
118801501
250021432

prune454.0ms

Filtered
156 candidates to 104 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh033
Picked011
Done000
Total1564160

Merged error: 0b

Counts
160 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(* (pow (/ x (+ x y)) x) (/ 1 x))
4.4b
(pow (/ x (+ x y)) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
61×*-un-lft-identity
56×times-frac
44×add-exp-log
42×unpow-prod-down
37×add-cube-cbrt
22×associate-*l*
16×prod-exp
14×div-exp
13×associate-*r*
12×unswap-sqr
10×pow-exp add-cbrt-cube distribute-lft-out
6×associate-/r/
5×pow-to-exp sqr-pow
4×pow1 rec-exp 1-exp associate-/r* div-inv
3×pow-unpow flip3-+ flip-+ associate-/l* add-log-exp
2×cbrt-undiv cbrt-unprod
1×pow-pow frac-2neg associate-*r/ clear-num un-div-inv *-commutative
Counts
3 → 141
Calls
3 calls:
5.0ms
(/ x (+ x y))
20.0ms
(* (pow (/ x (+ x y)) x) (/ 1 x))
6.0ms
(pow (/ x (+ x y)) x)

series428.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ x (+ x y))
138.0ms
(* (pow (/ x (+ x y)) x) (/ 1 x))
244.0ms
(pow (/ x (+ x y)) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06061005
12997914
25001902

prune224.0ms

Filtered
150 candidates to 97 candidates (64.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1500150
Fresh022
Picked011
Done011
Total1504154

Merged error: 0b

Counts
154 → 4

regimes47.0ms

Accuracy

97.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.7b

bsearch102.0ms

Steps
ItersRangePoint
7
0.027984945595800188
4.41326808055529
3.920998083167972
7
-3.4135768850296705e+88
-2.3801051457390278e+86
-2.414869942821729e+86

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03318
13318

end0.0ms

sample2.1s

Algorithm
intervals
Results
777.0ms1547×body1280valid
443.0ms1461×body640valid
281.0ms4887×body80valid
177.0ms839×body320valid
131.0ms3120×body80nan
53.0ms418×body160valid

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