Details

Time bar (total: 5.5s)

sample55.0ms

Algorithm
intervals
Results
17.0ms40×body1280valid
11.0ms43×body640valid
7.0ms157×body80valid
4.0ms24×body320valid
3.0ms98×body80nan
3.0ms23×body160valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0156
1246
2516
31086
43104
57924
641924
750024

prune7.0ms

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: 14.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (pow (/ x (+ x y)) x) x)
8.7b
(pow (/ x (+ x y)) x)

rewrite30.0ms

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))
10.0ms
(/ (pow (/ x (+ x y)) x) x)
6.0ms
(pow (/ x (+ x y)) x)

series392.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ x (+ x y))
128.0ms
(/ (pow (/ x (+ x y)) x) x)
223.0ms
(pow (/ x (+ x y)) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05541456
127261426
250031426

prune343.0ms

Filtered
187 candidates to 137 candidates (73.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1843187
Fresh000
Picked101
Done000
Total1853188

Merged error: 0.3b

Counts
188 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
2.7b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
3.5b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite37.0ms

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))
10.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series802.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (+ x y))
124.0ms
(cbrt (+ x y))
269.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
284.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify68.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07461470
123311394
250011363

prune378.0ms

Filtered
142 candidates to 102 candidates (71.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1411142
Fresh112
Picked011
Done000
Total1423145

Merged error: 0.1b

Counts
145 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
2.7b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
3.8b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
98×cbrt-prod
89×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
48×unpow-prod-down log-prod
14×distribute-lft-out
10×add-exp-log
8×cbrt-div
6×pow1
4×expm1-log1p-u flip3-+ associate-/r/ add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
3×pow-unpow
2×pow1/3 div-exp rem-log-exp pow-exp div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 158
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
10.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
7.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (+ x y))
129.0ms
(cbrt (+ x y))
260.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
71.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06501663
120681624
250021566

prune509.0ms

Filtered
170 candidates to 116 candidates (68.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1700170
Fresh011
Picked011
Done011
Total1703173

Merged error: 0.1b

Counts
173 → 3

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)

series18.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0118194
1313179
21512177
35001177

prune55.0ms

Filtered
33 candidates to 25 candidates (75.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New30333
Fresh000
Picked101
Done022
Total31536

Merged error: 0.1b

Counts
36 → 5

regimes65.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 6.0b

bsearch79.0ms

Steps
ItersRangePoint
6
0.045458023638768046
0.475758948552502
0.46902383324435853
8
-248083013394.15396
-354043835.22092235
-658616007.7051737

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03418
13418

end0.0ms

sample1.7s

Algorithm
intervals
Results
632.0ms1488×body1280valid
357.0ms1459×body640valid
203.0ms4898×body80valid
131.0ms819×body320valid
96.0ms2954×body80nan
45.0ms455×body160valid