Details

Time bar (total: 5.3s)

sample57.0ms

Algorithm
intervals
Results
20.0ms48×body1280valid
11.0ms45×body640valid
7.0ms159×body80valid
6.0ms36×body320valid
2.0ms82×body80nan
1.0ms6×body160valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
5.3b
(pow (/ x (+ x y)) x)

rewrite15.0ms

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))
8.0ms
(pow (/ x (+ x y)) x)

series275.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ x (+ x y))
237.0ms
(pow (/ x (+ x y)) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0309402
11244387
25002386

prune160.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(* (cbrt x) (cbrt x))
1.9b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
39×add-sqr-sqrt
37×*-un-lft-identity
24×cbrt-div
23×add-cube-cbrt
21×add-exp-log
19×pow1
15×swap-sqr
13×unpow-prod-down pow1/3 associate-*r* associate-*l*
12×flip3-+ flip-+
8×frac-times associate-/r/ unswap-sqr
6×prod-exp distribute-lft-out
5×pow-exp
4×associate-*r/ div-exp pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp
3×pow-unpow
2×pow2 pow-plus *-commutative cbrt-unprod
1×pow-to-exp pow-pow times-frac div-inv sqr-pow
Counts
4 → 135
Calls
4 calls:
0.0ms
(cbrt x)
20.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
6.0ms
(* (cbrt x) (cbrt x))
15.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.0s

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
168.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
394.0ms
(* (cbrt x) (cbrt x))
286.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05241116
122701040
25001988

prune451.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (+ x y))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series667.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (+ x y))
181.0ms
(cbrt x)
180.0ms
(cbrt x)
172.0ms
(cbrt x)

simplify47.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0139204
1348190
21107182
35002182

prune217.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

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 frac-2neg mul-1-neg div-exp clear-num div-inv associate-/l/ add-log-exp
Counts
1 → 28
Calls
1 calls:
3.0ms
(/ (exp (* -1 y)) x)

series23.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (exp (* -1 y)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0114186
1303172
21465170
35003170

prune62.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

96.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 5.7b

bsearch67.0ms

Steps
ItersRangePoint
5
2.0587583544234707e-06
6.651833699959797e-06
6.552630352198267e-06
7
-3.430057490437851e+43
-2.7564750964835823e+41
-3.371891914955366e+41

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721
12721

end0.0ms

sample1.8s

Algorithm
intervals
Results
700.0ms1582×body1280valid
370.0ms1425×body640valid
210.0ms4873×body80valid
130.0ms812×body320valid
92.0ms2981×body80nan
46.0ms453×body160valid