Details

Time bar (total: 4.7s)

sample39.0ms

Algorithm
intervals
Results
9.0ms181×body80valid
4.0ms23×body1280valid
4.0ms32×body640valid
4.0ms135×body80nan
2.0ms16×body640nan
2.0ms16×body320valid
1.0ms9×body1280nan
0.0ms8×body160nan
0.0ms5×body320nan
0.0ms4×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1296
2416
3606
4786
5946
61096
71396
82146
92796
102796

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
1.2b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.5b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
27×times-frac
16×add-cube-cbrt difference-of-squares
14×distribute-lft-out--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 flip3-- flip--
2×log-div div-sub associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow div-inv associate--r-
Counts
3 → 85
Calls
3 calls:
7.0ms
(/ (- x y) (- 1.0 y))
13.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series167.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (- x y) (- 1.0 y))
52.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
80.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify40.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0397707
11115663
25001658

prune212.0ms

Filtered
94 candidates to 69 candidates (73.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
3.5b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
4.1b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×times-frac
25×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×div-exp prod-exp associate-/r/
3×log-prod associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 117
Calls
4 calls:
5.0ms
(/ 1 (- 1.0 y))
13.0ms
(* (- x y) (/ 1 (- 1.0 y)))
2.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series206.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1 (- 1.0 y))
35.0ms
(* (- x y) (/ 1 (- 1.0 y)))
94.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
52.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0480836
12036736
25001688

prune240.0ms

Filtered
129 candidates to 83 candidates (64.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(- 1.0 (/ (- x y) (- 1.0 y)))
1.2b
(- 1.0 (/ (- x y) (- 1.0 y)))
3.3b
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
3.3b
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
18×log-prod
16×*-un-lft-identity
12×cbrt-prod
8×add-cube-cbrt add-log-exp difference-of-squares
6×pow1 add-exp-log
4×log-div cbrt-div flip3-- times-frac log-pow add-cbrt-cube flip-- distribute-lft-out--
2×sub-neg pow1/3 diff-log div-sub rem-log-exp associate--r-
Counts
4 → 74
Calls
4 calls:
13.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
14.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series321.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
52.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
109.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))
110.0ms
(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0238846
1522782
21946774
35003760

prune276.0ms

Filtered
86 candidates to 68 candidates (79.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
1.2b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
12.2b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
12.8b
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
148×add-sqr-sqrt
73×difference-of-squares
72×log-prod
54×unpow-prod-down cube-prod
42×*-un-lft-identity
33×associate--l+
30×sqr-pow
24×times-frac
19×distribute-lft-out--
10×pow1
8×add-cube-cbrt log-div
6×add-exp-log log-pow add-log-exp
4×flip3-- add-cbrt-cube flip--
3×difference-cubes associate--r+
2×associate--l- sub-neg flip3-+ diff-log rem-log-exp flip-+ associate--r-
Counts
4 → 157
Calls
4 calls:
67.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
43.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
45.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
17.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
357.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
181.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
319.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
167.0ms
(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify83.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06003250
117953141
250023065

prune522.0ms

Filtered
169 candidates to 107 candidates (63.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes90.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.6b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03019
13019

end0.0ms

sample1.0s

Algorithm
intervals
Results
222.0ms5721×body80valid
154.0ms790×body1280valid
113.0ms809×body640valid
97.0ms3644×body80nan
57.0ms351×body1280nan
51.0ms416×body640nan
46.0ms447×body320valid
18.0ms218×body320nan
15.0ms233×body160valid
8.0ms138×body160nan