Details

Time bar (total: 8.8s)

sample90.0ms

Algorithm
intervals
Results
41.0ms63×body1280valid
13.0ms37×body640valid
11.0ms157×body80valid
6.0ms24×body320valid
4.0ms80×body80nan
2.0ms14×body160valid

simplify121.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0156
1246
2516
31066
43044
57744
641424
750014

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* x (log (/ x (+ x y))))
7.3b
(log (/ x (+ x y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
54×log-prod
48×times-frac
40×add-sqr-sqrt
38×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
13×distribute-lft-out
10×add-exp-log
8×associate-/r/
7×pow1 add-cbrt-cube
4×flip3-+ associate-*r* associate-/r* flip-+ div-inv
3×associate-*l* associate-/l* add-log-exp
2×div-exp rem-log-exp log-pow
1×cbrt-undiv log-div frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 117
Calls
3 calls:
5.0ms
(/ x (+ x y))
11.0ms
(* x (log (/ x (+ x y))))
4.0ms
(log (/ x (+ x y)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ x (+ x y))
85.0ms
(* x (log (/ x (+ x y))))
56.0ms
(log (/ x (+ x y)))

simplify121.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0293850
11237789
24806759
35001759

prune276.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
3.2b
(log (/ (cbrt x) (cbrt (+ x y))))
3.2b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
98×cbrt-prod
96×log-prod
88×*-un-lft-identity
84×times-frac
60×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
10×add-exp-log
8×cbrt-div
6×pow1
4×flip3-+ rem-log-exp associate-/r/ add-cbrt-cube flip-+ add-log-exp
2×log-div pow1/3 div-exp log-pow div-inv
Counts
4 → 146
Calls
4 calls:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
6.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
10.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series479.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (+ x y))
156.0ms
(cbrt (+ x y))
75.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
82.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify166.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03541566
19331516
239241484
350021484

prune770.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
3.2b
(log (/ (cbrt x) (cbrt (+ x y))))
13.9b
(log (/ (cbrt x) (* (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
120×cbrt-div
84×log-prod
53×cbrt-prod
49×*-un-lft-identity
48×times-frac
35×add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
32×frac-times
28×associate-/r/
16×associate-*l/
13×add-exp-log
10×associate-*r/
7×distribute-lft-out
6×pow1
5×rem-log-exp
4×add-cbrt-cube add-log-exp
3×div-exp
2×log-div pow1/3 log-pow div-inv
1×prod-exp
Counts
4 → 138
Calls
4 calls:
2.0ms
(cbrt (+ x y))
12.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
6.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
14.0ms
(log (/ (cbrt x) (* (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (+ x y))
322.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
84.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
92.0ms
(log (/ (cbrt x) (* (cbrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (cbrt (+ x y))))))

simplify65.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
07202139
115992040
250012022

prune851.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
3.2b
(log (/ (cbrt x) (cbrt (+ x y))))
3.3b
(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))
19.9b
(log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
244×cbrt-prod
160×log-prod
136×times-frac
123×*-un-lft-identity
93×add-sqr-sqrt add-cube-cbrt
26×cbrt-div
16×add-exp-log
15×distribute-lft-out
12×associate-/r/
8×flip3-+ flip-+
7×pow1 rem-log-exp
4×frac-times div-exp add-cbrt-cube add-log-exp
3×log-div log-pow div-inv
2×associate-*r/ associate-*l/
1×pow1/3 prod-exp
Counts
4 → 208
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
6.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
9.0ms
(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))
7.0ms
(log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt (cbrt x))
89.0ms
(log (/ (cbrt x) (cbrt (+ x y))))
89.0ms
(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))
103.0ms
(log (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))

simplify80.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
08203065
121792965
250012946

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

regimes63.0ms

Accuracy

59.7% (1.5b remaining)

Error of 3.4b against oracle of 1.9b and baseline of 5.6b

bsearch97.0ms

Steps
ItersRangePoint
7
14105884.092424821
1380246373.8009338
14322280.759233003

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04768
14768

end0.0ms

sample2.5s

Algorithm
intervals
Results
921.0ms1544×body1280valid
531.0ms1417×body640valid
357.0ms4917×body80valid
206.0ms820×body320valid
149.0ms3026×body80nan
74.0ms451×body160valid