Details

Time bar (total: 5.9s)

sample74.0ms

Algorithm
intervals
Results
28.0ms58×body1280valid
13.0ms46×body640valid
8.0ms146×body80valid
5.0ms26×body320valid
5.0ms117×body80nan
2.0ms18×body160valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (7.0ms)

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: 8.3b

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)
4.7b
(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)

series406.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ x (+ x y))
133.0ms
(/ (pow (/ x (+ x y)) x) x)
230.0ms
(pow (/ x (+ x y)) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05371436
126401406
250011406

prune336.0ms

Filtered
181 candidates to 131 candidates (72.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1774181
Fresh000
Picked101
Done000
Total1784182

Merged error: 0.0b

Counts
182 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.8b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite36.0ms

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)
18.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series874.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
180.0ms
(cbrt x)
256.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
265.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify62.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06911334
121641266
250011235

prune360.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done000
Total1284132

Merged error: 0.0b

Counts
132 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

1.8b
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
3.9b
(cbrt (/ x (+ x y)))
3.9b
(cbrt (/ x (+ x y)))
3.9b
(cbrt (/ x (+ x y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
47×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
12×pow1
9×pow-pow pow1/3 distribute-lft-out
7×add-exp-log
6×associate-/r/
4×add-cbrt-cube add-log-exp
3×pow-unpow cbrt-div flip3-+ flip-+ div-inv
2×pow-prod-down pow-exp pow-sqr pow-prod-up
1×pow2 pow-to-exp unpow-prod-down pow-plus prod-exp sqr-pow
Counts
4 → 105
Calls
4 calls:
13.0ms
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
5.0ms
(cbrt (/ x (+ x y)))
4.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))

series657.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
122.0ms
(cbrt (/ x (+ x y)))
128.0ms
(cbrt (/ x (+ x y)))
124.0ms
(cbrt (/ x (+ x y)))

simplify165.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (154.0ms)

IterNodesCost
0273798
1946768
24150750
35002749

prune283.0ms

Filtered
117 candidates to 85 candidates (72.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done011
Total1174121

Merged error: 0.0b

Counts
121 → 4

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 frac-2neg mul-1-neg div-exp clear-num div-inv associate-/l/ add-log-exp
Counts
1 → 28
Calls
1 calls:
4.0ms
(/ (exp (* -1 y)) x)

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ (exp (* -1 y)) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0114186
1303172
21465170
35003170

prune50.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New29231
Fresh011
Picked011
Done022
Total29635

Merged error: 0b

Counts
35 → 6

regimes87.0ms

Accuracy

92% (0.5b remaining)

Error of 1.3b against oracle of 0.8b and baseline of 6.7b

bsearch80.0ms

Steps
ItersRangePoint
5
5.324328179266524e-12
2.0157742232178803e-11
1.9720800670118702e-11
8
-1.3627918296099679e+31
-4.541700328257963e+27
-2.457370753478212e+30

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03120
13120

end0.0ms

sample2.1s

Algorithm
intervals
Results
734.0ms1494×body1280valid
449.0ms1488×body640valid
265.0ms4932×body80valid
168.0ms878×body320valid
123.0ms3078×body80nan
53.0ms422×body160valid