Details

Time bar (total: 5.9s)

sample61.0ms

Algorithm
intervals
Results
23.0ms52×body1280valid
12.0ms50×body640valid
6.0ms151×body80valid
5.0ms30×body320valid
2.0ms90×body80nan
1.0ms14×body160valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (8.0ms)

IterNodesCost
0156
1246
2516
31086
43104
57924
641924
750024

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (pow (/ x (+ x y)) x) x)
0.0b
(/ x (+ x y))
6.5b
(pow (/ x (+ x y)) x)

rewrite50.0ms

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:
28.0ms
(/ (pow (/ x (+ x y)) x) x)
5.0ms
(/ x (+ x y))
8.0ms
(pow (/ x (+ x y)) x)

series415.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(/ (pow (/ x (+ x y)) x) x)
38.0ms
(/ x (+ x y))
237.0ms
(pow (/ x (+ x y)) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05541456
127261426
250021426

prune419.0ms

Filtered
187 candidates to 137 candidates (73.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
13.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
16.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series831.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (+ x y))
132.0ms
(cbrt (+ x y))
274.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
290.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07461470
123311394
250011363

prune474.0ms

Filtered
142 candidates to 102 candidates (71.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
4.3b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite32.0ms

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:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
13.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
6.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series629.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (+ x y))
139.0ms
(cbrt (+ x y))
280.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
78.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify68.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06501663
120681624
250021566

prune591.0ms

Filtered
170 candidates to 116 candidates (68.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:
3.0ms
(/ (exp (* -1 y)) x)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (exp (* -1 y)) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0118194
1313179
21512177
35001177

prune68.0ms

Filtered
33 candidates to 25 candidates (75.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

94.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.8b

bsearch105.0ms

Steps
ItersRangePoint
6
2.289162948056721e-13
9.558161037350472e-13
9.412915699220923e-13
10
-6.938135508519794e+66
-3.577435419261512e+48
-7.036642738480878e+48

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03318
13318

end0.0ms

sample1.7s

Algorithm
intervals
Results
632.0ms1476×body1280valid
355.0ms1438×body640valid
202.0ms4878×body80valid
140.0ms874×body320valid
89.0ms3027×body80nan
45.0ms423×body160valid